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Finding the Fourth Proportional to 473,694.80, 710,542.20 and 410,104.40

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Solution

The fourth proportional to 473,694.80, 710,542.20 and 410,104.40 is: 615,156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,694.80 : 710,542.20 = 410,104.40 : x
  2. Step 2: Convert to fraction form
    473,694.80/710,542.20 = 410,104.40/x
  3. Step 3: Cross multiply
    473,694.80x = 710,542.20 × 410,104.40
  4. Step 4: Simplify right side
    473,694.80x = 291,396,482,605.68
  5. Step 5: Solve for x
    x = 291,396,482,605.68/473,694.80
  6. Step 6: Final answer
    x = 615,156.60

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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.