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Finding the Fourth Proportional to 465,458.80, 698,287.40 and 265,874.80

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Solution

The fourth proportional to 465,458.80, 698,287.40 and 265,874.80 is: 398,868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,458.80 : 698,287.40 = 265,874.80 : x
  2. Step 2: Convert to fraction form
    465,458.80/698,287.40 = 265,874.80/x
  3. Step 3: Cross multiply
    465,458.80x = 698,287.40 × 265,874.80
  4. Step 4: Simplify right side
    465,458.80x = 185,657,022,817.52
  5. Step 5: Solve for x
    x = 185,657,022,817.52/465,458.80
  6. Step 6: Final answer
    x = 398,868.86

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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.