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Finding the Fourth Proportional to 466,892.35, 644,294.42 and 260,150.05

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Solution

The fourth proportional to 466,892.35, 644,294.42 and 260,150.05 is: 358,997.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,892.35 : 644,294.42 = 260,150.05 : x
  2. Step 2: Convert to fraction form
    466,892.35/644,294.42 = 260,150.05/x
  3. Step 3: Cross multiply
    466,892.35x = 644,294.42 × 260,150.05
  4. Step 4: Simplify right side
    466,892.35x = 167,613,225,105.14
  5. Step 5: Solve for x
    x = 167,613,225,105.14/466,892.35
  6. Step 6: Final answer
    x = 358,997.59

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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.