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Finding the Fourth Proportional to 465,848.80, 698,773.20 and 412,704.70

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Solution

The fourth proportional to 465,848.80, 698,773.20 and 412,704.70 is: 619,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,848.80 : 698,773.20 = 412,704.70 : x
  2. Step 2: Convert to fraction form
    465,848.80/698,773.20 = 412,704.70/x
  3. Step 3: Cross multiply
    465,848.80x = 698,773.20 × 412,704.70
  4. Step 4: Simplify right side
    465,848.80x = 288,386,983,874.04
  5. Step 5: Solve for x
    x = 288,386,983,874.04/465,848.80
  6. Step 6: Final answer
    x = 619,057.05

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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.