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Finding the Fourth Proportional to 417,211.12, 625,540.14 and 150,937

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Solution

The fourth proportional to 417,211.12, 625,540.14 and 150,937 is: 226,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,211.12 : 625,540.14 = 150,937 : x
  2. Step 2: Convert to fraction form
    417,211.12/625,540.14 = 150,937/x
  3. Step 3: Cross multiply
    417,211.12x = 625,540.14 × 150,937
  4. Step 4: Simplify right side
    417,211.12x = 94,417,152,111.18
  5. Step 5: Solve for x
    x = 94,417,152,111.18/417,211.12
  6. Step 6: Final answer
    x = 226,305.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.