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Finding the Fourth Proportional to 349,470.53, 523,520.71 and 181,101.30

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Solution

The fourth proportional to 349,470.53, 523,520.71 and 181,101.30 is: 271,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,470.53 : 523,520.71 = 181,101.30 : x
  2. Step 2: Convert to fraction form
    349,470.53/523,520.71 = 181,101.30/x
  3. Step 3: Cross multiply
    349,470.53x = 523,520.71 × 181,101.30
  4. Step 4: Simplify right side
    349,470.53x = 94,810,281,157.92
  5. Step 5: Solve for x
    x = 94,810,281,157.92/349,470.53
  6. Step 6: Final answer
    x = 271,296.93

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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.