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Finding the Fourth Proportional to 374,129.78, 516,301.83 and 204,363.86

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Solution

The fourth proportional to 374,129.78, 516,301.83 and 204,363.86 is: 282,023.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,129.78 : 516,301.83 = 204,363.86 : x
  2. Step 2: Convert to fraction form
    374,129.78/516,301.83 = 204,363.86/x
  3. Step 3: Cross multiply
    374,129.78x = 516,301.83 × 204,363.86
  4. Step 4: Simplify right side
    374,129.78x = 105,513,434,903.86
  5. Step 5: Solve for x
    x = 105,513,434,903.86/374,129.78
  6. Step 6: Final answer
    x = 282,023.62

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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.