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Finding the Fourth Proportional to 306,493.38, 460,018.17 and 156,837.06

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Solution

The fourth proportional to 306,493.38, 460,018.17 and 156,837.06 is: 235,397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,493.38 : 460,018.17 = 156,837.06 : x
  2. Step 2: Convert to fraction form
    306,493.38/460,018.17 = 156,837.06/x
  3. Step 3: Cross multiply
    306,493.38x = 460,018.17 × 156,837.06
  4. Step 4: Simplify right side
    306,493.38x = 72,147,897,329.38
  5. Step 5: Solve for x
    x = 72,147,897,329.38/306,493.38
  6. Step 6: Final answer
    x = 235,397.90

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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.