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Finding the Fourth Proportional to 409,854.24, 614,746.64 and 231,801.12

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Solution

The fourth proportional to 409,854.24, 614,746.64 and 231,801.12 is: 347,682.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,854.24 : 614,746.64 = 231,801.12 : x
  2. Step 2: Convert to fraction form
    409,854.24/614,746.64 = 231,801.12/x
  3. Step 3: Cross multiply
    409,854.24x = 614,746.64 × 231,801.12
  4. Step 4: Simplify right side
    409,854.24x = 142,498,959,668.24
  5. Step 5: Solve for x
    x = 142,498,959,668.24/409,854.24
  6. Step 6: Final answer
    x = 347,682.04

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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.