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Finding the Fourth Proportional to 465,665.91, 642,672.24 and 258,954.92

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Solution

The fourth proportional to 465,665.91, 642,672.24 and 258,954.92 is: 357,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,665.91 : 642,672.24 = 258,954.92 : x
  2. Step 2: Convert to fraction form
    465,665.91/642,672.24 = 258,954.92/x
  3. Step 3: Cross multiply
    465,665.91x = 642,672.24 × 258,954.92
  4. Step 4: Simplify right side
    465,665.91x = 166,423,140,700.19
  5. Step 5: Solve for x
    x = 166,423,140,700.19/465,665.91
  6. Step 6: Final answer
    x = 357,387.42

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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.