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Finding the Fourth Proportional to 647,512.90, 971,269.35 and 411,316.90

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Solution

The fourth proportional to 647,512.90, 971,269.35 and 411,316.90 is: 616,975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,512.90 : 971,269.35 = 411,316.90 : x
  2. Step 2: Convert to fraction form
    647,512.90/971,269.35 = 411,316.90/x
  3. Step 3: Cross multiply
    647,512.90x = 971,269.35 × 411,316.90
  4. Step 4: Simplify right side
    647,512.90x = 399,499,498,107.02
  5. Step 5: Solve for x
    x = 399,499,498,107.02/647,512.90
  6. Step 6: Final answer
    x = 616,975.35

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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.