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Finding the Fourth Proportional to 465,853.20, 698,779.80 and 415,114.80

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Solution

The fourth proportional to 465,853.20, 698,779.80 and 415,114.80 is: 622,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,853.20 : 698,779.80 = 415,114.80 : x
  2. Step 2: Convert to fraction form
    465,853.20/698,779.80 = 415,114.80/x
  3. Step 3: Cross multiply
    465,853.20x = 698,779.80 × 415,114.80
  4. Step 4: Simplify right side
    465,853.20x = 290,073,836,921.04
  5. Step 5: Solve for x
    x = 290,073,836,921.04/465,853.20
  6. Step 6: Final answer
    x = 622,672.20

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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.