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Finding the Fourth Proportional to 354,694.40, 532,387.20 and 177,401.60

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Solution

The fourth proportional to 354,694.40, 532,387.20 and 177,401.60 is: 266,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,694.40 : 532,387.20 = 177,401.60 : x
  2. Step 2: Convert to fraction form
    354,694.40/532,387.20 = 177,401.60/x
  3. Step 3: Cross multiply
    354,694.40x = 532,387.20 × 177,401.60
  4. Step 4: Simplify right side
    354,694.40x = 94,446,341,099.52
  5. Step 5: Solve for x
    x = 94,446,341,099.52/354,694.40
  6. Step 6: Final answer
    x = 266,275.25

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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.