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Finding the Fourth Proportional to 503,646.08, 755,780.16 and 204,129.14

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Solution

The fourth proportional to 503,646.08, 755,780.16 and 204,129.14 is: 306,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,646.08 : 755,780.16 = 204,129.14 : x
  2. Step 2: Convert to fraction form
    503,646.08/755,780.16 = 204,129.14/x
  3. Step 3: Cross multiply
    503,646.08x = 755,780.16 × 204,129.14
  4. Step 4: Simplify right side
    503,646.08x = 154,276,754,089.86
  5. Step 5: Solve for x
    x = 154,276,754,089.86/503,646.08
  6. Step 6: Final answer
    x = 306,319.78

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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.