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Finding the Fourth Proportional to 465,711.46, 698,069.85 and 265,600.96

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Solution

The fourth proportional to 465,711.46, 698,069.85 and 265,600.96 is: 398,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,711.46 : 698,069.85 = 265,600.96 : x
  2. Step 2: Convert to fraction form
    465,711.46/698,069.85 = 265,600.96/x
  3. Step 3: Cross multiply
    465,711.46x = 698,069.85 × 265,600.96
  4. Step 4: Simplify right side
    465,711.46x = 185,408,022,307.06
  5. Step 5: Solve for x
    x = 185,408,022,307.06/465,711.46
  6. Step 6: Final answer
    x = 398,117.80

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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.