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Finding the Fourth Proportional to 417,311.10, 625,809.45 and 151,005.74

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Solution

The fourth proportional to 417,311.10, 625,809.45 and 151,005.74 is: 226,451.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,311.10 : 625,809.45 = 151,005.74 : x
  2. Step 2: Convert to fraction form
    417,311.10/625,809.45 = 151,005.74/x
  3. Step 3: Cross multiply
    417,311.10x = 625,809.45 × 151,005.74
  4. Step 4: Simplify right side
    417,311.10x = 94,500,819,096.24
  5. Step 5: Solve for x
    x = 94,500,819,096.24/417,311.10
  6. Step 6: Final answer
    x = 226,451.73

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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.