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Finding the Fourth Proportional to 417,227.40, 625,564.44 and 150,952.68

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Solution

The fourth proportional to 417,227.40, 625,564.44 and 150,952.68 is: 226,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,227.40 : 625,564.44 = 150,952.68 : x
  2. Step 2: Convert to fraction form
    417,227.40/625,564.44 = 150,952.68/x
  3. Step 3: Cross multiply
    417,227.40x = 625,564.44 × 150,952.68
  4. Step 4: Simplify right side
    417,227.40x = 94,430,628,730.70
  5. Step 5: Solve for x
    x = 94,430,628,730.70/417,227.40
  6. Step 6: Final answer
    x = 226,328.92

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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.