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Finding the Fourth Proportional to 417,291.56, 625,780.20 and 150,986.24

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Solution

The fourth proportional to 417,291.56, 625,780.20 and 150,986.24 is: 226,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,291.56 : 625,780.20 = 150,986.24 : x
  2. Step 2: Convert to fraction form
    417,291.56/625,780.20 = 150,986.24/x
  3. Step 3: Cross multiply
    417,291.56x = 625,780.20 × 150,986.24
  4. Step 4: Simplify right side
    417,291.56x = 94,484,199,464.45
  5. Step 5: Solve for x
    x = 94,484,199,464.45/417,291.56
  6. Step 6: Final answer
    x = 226,422.50

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1.5x scale

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.