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Finding the Fourth Proportional to 272,035.10, 408,052.65 and 216,047.90

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Solution

The fourth proportional to 272,035.10, 408,052.65 and 216,047.90 is: 324,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,035.10 : 408,052.65 = 216,047.90 : x
  2. Step 2: Convert to fraction form
    272,035.10/408,052.65 = 216,047.90/x
  3. Step 3: Cross multiply
    272,035.10x = 408,052.65 × 216,047.90
  4. Step 4: Simplify right side
    272,035.10x = 88,158,918,121.94
  5. Step 5: Solve for x
    x = 88,158,918,121.94/272,035.10
  6. Step 6: Final answer
    x = 324,071.85

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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.