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Finding the Fourth Proportional to 417,210.12, 625,538.64 and 150,936

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Solution

The fourth proportional to 417,210.12, 625,538.64 and 150,936 is: 226,303.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,210.12 : 625,538.64 = 150,936 : x
  2. Step 2: Convert to fraction form
    417,210.12/625,538.64 = 150,936/x
  3. Step 3: Cross multiply
    417,210.12x = 625,538.64 × 150,936
  4. Step 4: Simplify right side
    417,210.12x = 94,416,300,167.04
  5. Step 5: Solve for x
    x = 94,416,300,167.04/417,210.12
  6. Step 6: Final answer
    x = 226,303.95

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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.