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Finding the Fourth Proportional to 502,002.92, 752,837.34 and 202,406.12

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Solution

The fourth proportional to 502,002.92, 752,837.34 and 202,406.12 is: 303,541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,002.92 : 752,837.34 = 202,406.12 : x
  2. Step 2: Convert to fraction form
    502,002.92/752,837.34 = 202,406.12/x
  3. Step 3: Cross multiply
    502,002.92x = 752,837.34 × 202,406.12
  4. Step 4: Simplify right side
    502,002.92x = 152,378,884,980.52
  5. Step 5: Solve for x
    x = 152,378,884,980.52/502,002.92
  6. Step 6: Final answer
    x = 303,541.83

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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.