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Finding the Fourth Proportional to 574,142.32, 861,397.86 and 174,860.32

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Solution

The fourth proportional to 574,142.32, 861,397.86 and 174,860.32 is: 262,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,142.32 : 861,397.86 = 174,860.32 : x
  2. Step 2: Convert to fraction form
    574,142.32/861,397.86 = 174,860.32/x
  3. Step 3: Cross multiply
    574,142.32x = 861,397.86 × 174,860.32
  4. Step 4: Simplify right side
    574,142.32x = 150,624,305,446.92
  5. Step 5: Solve for x
    x = 150,624,305,446.92/574,142.32
  6. Step 6: Final answer
    x = 262,346.63

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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.