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Finding the Fourth Proportional to 433,503.30, 650,254.95 and 396,761.70

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Solution

The fourth proportional to 433,503.30, 650,254.95 and 396,761.70 is: 595,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,503.30 : 650,254.95 = 396,761.70 : x
  2. Step 2: Convert to fraction form
    433,503.30/650,254.95 = 396,761.70/x
  3. Step 3: Cross multiply
    433,503.30x = 650,254.95 × 396,761.70
  4. Step 4: Simplify right side
    433,503.30x = 257,996,259,395.42
  5. Step 5: Solve for x
    x = 257,996,259,395.42/433,503.30
  6. Step 6: Final answer
    x = 595,142.55

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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.