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Finding the Fourth Proportional to 465,757.41, 698,565.87 and 298,446.90

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Solution

The fourth proportional to 465,757.41, 698,565.87 and 298,446.90 is: 447,625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,757.41 : 698,565.87 = 298,446.90 : x
  2. Step 2: Convert to fraction form
    465,757.41/698,565.87 = 298,446.90/x
  3. Step 3: Cross multiply
    465,757.41x = 698,565.87 × 298,446.90
  4. Step 4: Simplify right side
    465,757.41x = 208,484,818,347.30
  5. Step 5: Solve for x
    x = 208,484,818,347.30/465,757.41
  6. Step 6: Final answer
    x = 447,625.34

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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.