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Finding the Fourth Proportional to 307,627.92, 461,439 and 97,265.88

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Solution

The fourth proportional to 307,627.92, 461,439 and 97,265.88 is: 145,897.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,627.92 : 461,439 = 97,265.88 : x
  2. Step 2: Convert to fraction form
    307,627.92/461,439 = 97,265.88/x
  3. Step 3: Cross multiply
    307,627.92x = 461,439 × 97,265.88
  4. Step 4: Simplify right side
    307,627.92x = 44,882,270,401.32
  5. Step 5: Solve for x
    x = 44,882,270,401.32/307,627.92
  6. Step 6: Final answer
    x = 145,897.91

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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.