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Finding the Fourth Proportional to 417,200.06, 625,824.30 and 161,034.10

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Solution

The fourth proportional to 417,200.06, 625,824.30 and 161,034.10 is: 241,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,200.06 : 625,824.30 = 161,034.10 : x
  2. Step 2: Convert to fraction form
    417,200.06/625,824.30 = 161,034.10/x
  3. Step 3: Cross multiply
    417,200.06x = 625,824.30 × 161,034.10
  4. Step 4: Simplify right side
    417,200.06x = 100,779,051,947.95
  5. Step 5: Solve for x
    x = 100,779,051,947.95/417,200.06
  6. Step 6: Final answer
    x = 241,560.49

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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.