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Finding the Fourth Proportional to 473,693.80, 710,540.70 and 410,103.40

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Solution

The fourth proportional to 473,693.80, 710,540.70 and 410,103.40 is: 615,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,693.80 : 710,540.70 = 410,103.40 : x
  2. Step 2: Convert to fraction form
    473,693.80/710,540.70 = 410,103.40/x
  3. Step 3: Cross multiply
    473,693.80x = 710,540.70 × 410,103.40
  4. Step 4: Simplify right side
    473,693.80x = 291,395,156,908.38
  5. Step 5: Solve for x
    x = 291,395,156,908.38/473,693.80
  6. Step 6: Final answer
    x = 615,155.10

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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.