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Finding the Fourth Proportional to 416,139.45, 574,272.42 and 225,152.84

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Solution

The fourth proportional to 416,139.45, 574,272.42 and 225,152.84 is: 310,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,139.45 : 574,272.42 = 225,152.84 : x
  2. Step 2: Convert to fraction form
    416,139.45/574,272.42 = 225,152.84/x
  3. Step 3: Cross multiply
    416,139.45x = 574,272.42 × 225,152.84
  4. Step 4: Simplify right side
    416,139.45x = 129,299,062,299.55
  5. Step 5: Solve for x
    x = 129,299,062,299.55/416,139.45
  6. Step 6: Final answer
    x = 310,710.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.