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Finding the Fourth Proportional to 417,289.56, 625,777.20 and 150,984.24

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Solution

The fourth proportional to 417,289.56, 625,777.20 and 150,984.24 is: 226,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,289.56 : 625,777.20 = 150,984.24 : x
  2. Step 2: Convert to fraction form
    417,289.56/625,777.20 = 150,984.24/x
  3. Step 3: Cross multiply
    417,289.56x = 625,777.20 × 150,984.24
  4. Step 4: Simplify right side
    417,289.56x = 94,482,494,951.33
  5. Step 5: Solve for x
    x = 94,482,494,951.33/417,289.56
  6. Step 6: Final answer
    x = 226,419.50

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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.