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Finding the Fourth Proportional to 465,462.64, 698,221.68 and 145,674.28

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Solution

The fourth proportional to 465,462.64, 698,221.68 and 145,674.28 is: 218,520.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,462.64 : 698,221.68 = 145,674.28 : x
  2. Step 2: Convert to fraction form
    465,462.64/698,221.68 = 145,674.28/x
  3. Step 3: Cross multiply
    465,462.64x = 698,221.68 × 145,674.28
  4. Step 4: Simplify right side
    465,462.64x = 101,712,940,514.39
  5. Step 5: Solve for x
    x = 101,712,940,514.39/465,462.64
  6. Step 6: Final answer
    x = 218,520.10

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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.