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Finding the Fourth Proportional to 442,698.96, 610,862.94 and 251,691.24

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Solution

The fourth proportional to 442,698.96, 610,862.94 and 251,691.24 is: 347,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,698.96 : 610,862.94 = 251,691.24 : x
  2. Step 2: Convert to fraction form
    442,698.96/610,862.94 = 251,691.24/x
  3. Step 3: Cross multiply
    442,698.96x = 610,862.94 × 251,691.24
  4. Step 4: Simplify right side
    442,698.96x = 153,748,850,838.65
  5. Step 5: Solve for x
    x = 153,748,850,838.65/442,698.96
  6. Step 6: Final answer
    x = 347,298.88

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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.