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Finding the Fourth Proportional to 354,600.40, 532,246.20 and 177,307.60

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Solution

The fourth proportional to 354,600.40, 532,246.20 and 177,307.60 is: 266,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,600.40 : 532,246.20 = 177,307.60 : x
  2. Step 2: Convert to fraction form
    354,600.40/532,246.20 = 177,307.60/x
  3. Step 3: Cross multiply
    354,600.40x = 532,246.20 × 177,307.60
  4. Step 4: Simplify right side
    354,600.40x = 94,371,296,331.12
  5. Step 5: Solve for x
    x = 94,371,296,331.12/354,600.40
  6. Step 6: Final answer
    x = 266,134.21

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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.