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Finding the Fourth Proportional to 416,155.24, 574,232.64 and 252,726.76

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Solution

The fourth proportional to 416,155.24, 574,232.64 and 252,726.76 is: 348,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,155.24 : 574,232.64 = 252,726.76 : x
  2. Step 2: Convert to fraction form
    416,155.24/574,232.64 = 252,726.76/x
  3. Step 3: Cross multiply
    416,155.24x = 574,232.64 × 252,726.76
  4. Step 4: Simplify right side
    416,155.24x = 145,123,954,593.45
  5. Step 5: Solve for x
    x = 145,123,954,593.45/416,155.24
  6. Step 6: Final answer
    x = 348,725.53

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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.