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Finding the Fourth Proportional to 461,712.80, 692,569.20 and 413,501.60

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Solution

The fourth proportional to 461,712.80, 692,569.20 and 413,501.60 is: 620,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,712.80 : 692,569.20 = 413,501.60 : x
  2. Step 2: Convert to fraction form
    461,712.80/692,569.20 = 413,501.60/x
  3. Step 3: Cross multiply
    461,712.80x = 692,569.20 × 413,501.60
  4. Step 4: Simplify right side
    461,712.80x = 286,378,472,310.72
  5. Step 5: Solve for x
    x = 286,378,472,310.72/461,712.80
  6. Step 6: Final answer
    x = 620,252.40

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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.