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Finding the Fourth Proportional to 354,630.40, 532,291.20 and 177,337.60

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Solution

The fourth proportional to 354,630.40, 532,291.20 and 177,337.60 is: 266,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,630.40 : 532,291.20 = 177,337.60 : x
  2. Step 2: Convert to fraction form
    354,630.40/532,291.20 = 177,337.60/x
  3. Step 3: Cross multiply
    354,630.40x = 532,291.20 × 177,337.60
  4. Step 4: Simplify right side
    354,630.40x = 94,395,243,909.12
  5. Step 5: Solve for x
    x = 94,395,243,909.12/354,630.40
  6. Step 6: Final answer
    x = 266,179.22

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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.