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Finding the Fourth Proportional to 417,254.96, 625,718.64 and 147,325.52

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Solution

The fourth proportional to 417,254.96, 625,718.64 and 147,325.52 is: 220,930.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,254.96 : 625,718.64 = 147,325.52 : x
  2. Step 2: Convert to fraction form
    417,254.96/625,718.64 = 147,325.52/x
  3. Step 3: Cross multiply
    417,254.96x = 625,718.64 × 147,325.52
  4. Step 4: Simplify right side
    417,254.96x = 92,184,324,011.69
  5. Step 5: Solve for x
    x = 92,184,324,011.69/417,254.96
  6. Step 6: Final answer
    x = 220,930.45

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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.