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Finding the Fourth Proportional to 502,873.12, 754,355.28 and 165,914.74

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Solution

The fourth proportional to 502,873.12, 754,355.28 and 165,914.74 is: 248,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,873.12 : 754,355.28 = 165,914.74 : x
  2. Step 2: Convert to fraction form
    502,873.12/754,355.28 = 165,914.74/x
  3. Step 3: Cross multiply
    502,873.12x = 754,355.28 × 165,914.74
  4. Step 4: Simplify right side
    502,873.12x = 125,158,660,148.83
  5. Step 5: Solve for x
    x = 125,158,660,148.83/502,873.12
  6. Step 6: Final answer
    x = 248,887.15

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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.