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Finding the Fourth Proportional to 473,798.64, 710,593.30 and 136,766.04

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Solution

The fourth proportional to 473,798.64, 710,593.30 and 136,766.04 is: 205,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,798.64 : 710,593.30 = 136,766.04 : x
  2. Step 2: Convert to fraction form
    473,798.64/710,593.30 = 136,766.04/x
  3. Step 3: Cross multiply
    473,798.64x = 710,593.30 × 136,766.04
  4. Step 4: Simplify right side
    473,798.64x = 97,185,031,691.53
  5. Step 5: Solve for x
    x = 97,185,031,691.53/473,798.64
  6. Step 6: Final answer
    x = 205,118.85

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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.