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Finding the Fourth Proportional to 374,113.69, 516,289.65 and 204,358.75

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Solution

The fourth proportional to 374,113.69, 516,289.65 and 204,358.75 is: 282,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,113.69 : 516,289.65 = 204,358.75 : x
  2. Step 2: Convert to fraction form
    374,113.69/516,289.65 = 204,358.75/x
  3. Step 3: Cross multiply
    374,113.69x = 516,289.65 × 204,358.75
  4. Step 4: Simplify right side
    374,113.69x = 105,508,305,454.87
  5. Step 5: Solve for x
    x = 105,508,305,454.87/374,113.69
  6. Step 6: Final answer
    x = 282,022.04

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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.