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Finding the Fourth Proportional to 561,674.10, 842,511.15 and 461,946.90

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Solution

The fourth proportional to 561,674.10, 842,511.15 and 461,946.90 is: 692,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,674.10 : 842,511.15 = 461,946.90 : x
  2. Step 2: Convert to fraction form
    561,674.10/842,511.15 = 461,946.90/x
  3. Step 3: Cross multiply
    561,674.10x = 842,511.15 × 461,946.90
  4. Step 4: Simplify right side
    561,674.10x = 389,195,413,957.94
  5. Step 5: Solve for x
    x = 389,195,413,957.94/561,674.10
  6. Step 6: Final answer
    x = 692,920.35

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.