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Finding the Fourth Proportional to 467,711.08, 645,460.14 and 260,997.56

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Solution

The fourth proportional to 467,711.08, 645,460.14 and 260,997.56 is: 360,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,711.08 : 645,460.14 = 260,997.56 : x
  2. Step 2: Convert to fraction form
    467,711.08/645,460.14 = 260,997.56/x
  3. Step 3: Cross multiply
    467,711.08x = 645,460.14 × 260,997.56
  4. Step 4: Simplify right side
    467,711.08x = 168,463,521,789.17
  5. Step 5: Solve for x
    x = 168,463,521,789.17/467,711.08
  6. Step 6: Final answer
    x = 360,187.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.