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Finding the Fourth Proportional to 466,729.20, 698,344.20 and 309,265.20

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Solution

The fourth proportional to 466,729.20, 698,344.20 and 309,265.20 is: 462,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,729.20 : 698,344.20 = 309,265.20 : x
  2. Step 2: Convert to fraction form
    466,729.20/698,344.20 = 309,265.20/x
  3. Step 3: Cross multiply
    466,729.20x = 698,344.20 × 309,265.20
  4. Step 4: Simplify right side
    466,729.20x = 215,973,558,681.84
  5. Step 5: Solve for x
    x = 215,973,558,681.84/466,729.20
  6. Step 6: Final answer
    x = 462,738.48

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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.