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Finding the Fourth Proportional to 417,283.56, 625,768.20 and 150,978.24

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Solution

The fourth proportional to 417,283.56, 625,768.20 and 150,978.24 is: 226,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,283.56 : 625,768.20 = 150,978.24 : x
  2. Step 2: Convert to fraction form
    417,283.56/625,768.20 = 150,978.24/x
  3. Step 3: Cross multiply
    417,283.56x = 625,768.20 × 150,978.24
  4. Step 4: Simplify right side
    417,283.56x = 94,477,381,483.97
  5. Step 5: Solve for x
    x = 94,477,381,483.97/417,283.56
  6. Step 6: Final answer
    x = 226,410.50

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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.