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Finding the Fourth Proportional to 467,909.88, 702,141.30 and 172,629.24

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Solution

The fourth proportional to 467,909.88, 702,141.30 and 172,629.24 is: 259,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,909.88 : 702,141.30 = 172,629.24 : x
  2. Step 2: Convert to fraction form
    467,909.88/702,141.30 = 172,629.24/x
  3. Step 3: Cross multiply
    467,909.88x = 702,141.30 × 172,629.24
  4. Step 4: Simplify right side
    467,909.88x = 121,210,118,991.61
  5. Step 5: Solve for x
    x = 121,210,118,991.61/467,909.88
  6. Step 6: Final answer
    x = 259,045.86

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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.