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Finding the Fourth Proportional to 417,293.56, 625,783.20 and 150,988.24

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Solution

The fourth proportional to 417,293.56, 625,783.20 and 150,988.24 is: 226,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,293.56 : 625,783.20 = 150,988.24 : x
  2. Step 2: Convert to fraction form
    417,293.56/625,783.20 = 150,988.24/x
  3. Step 3: Cross multiply
    417,293.56x = 625,783.20 × 150,988.24
  4. Step 4: Simplify right side
    417,293.56x = 94,485,903,989.57
  5. Step 5: Solve for x
    x = 94,485,903,989.57/417,293.56
  6. Step 6: Final answer
    x = 226,425.50

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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.