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Finding the Fourth Proportional to 473,706.80, 710,560.20 and 410,116.40

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Solution

The fourth proportional to 473,706.80, 710,560.20 and 410,116.40 is: 615,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,706.80 : 710,560.20 = 410,116.40 : x
  2. Step 2: Convert to fraction form
    473,706.80/710,560.20 = 410,116.40/x
  3. Step 3: Cross multiply
    473,706.80x = 710,560.20 × 410,116.40
  4. Step 4: Simplify right side
    473,706.80x = 291,412,391,207.28
  5. Step 5: Solve for x
    x = 291,412,391,207.28/473,706.80
  6. Step 6: Final answer
    x = 615,174.60

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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.