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Finding the Fourth Proportional to 467,397.57, 701,190.67 and 147,599.40

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Solution

The fourth proportional to 467,397.57, 701,190.67 and 147,599.40 is: 221,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,397.57 : 701,190.67 = 147,599.40 : x
  2. Step 2: Convert to fraction form
    467,397.57/701,190.67 = 147,599.40/x
  3. Step 3: Cross multiply
    467,397.57x = 701,190.67 × 147,599.40
  4. Step 4: Simplify right side
    467,397.57x = 103,495,322,177.60
  5. Step 5: Solve for x
    x = 103,495,322,177.60/467,397.57
  6. Step 6: Final answer
    x = 221,428.88

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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.