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Finding the Fourth Proportional to 417,164.82, 625,376.12 and 150,866.13

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Solution

The fourth proportional to 417,164.82, 625,376.12 and 150,866.13 is: 226,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,164.82 : 625,376.12 = 150,866.13 : x
  2. Step 2: Convert to fraction form
    417,164.82/625,376.12 = 150,866.13/x
  3. Step 3: Cross multiply
    417,164.82x = 625,376.12 × 150,866.13
  4. Step 4: Simplify right side
    417,164.82x = 94,348,074,264.49
  5. Step 5: Solve for x
    x = 94,348,074,264.49/417,164.82
  6. Step 6: Final answer
    x = 226,164.98

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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.