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Finding the Fourth Proportional to 416,248.38, 574,423.79 and 225,263.16

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Solution

The fourth proportional to 416,248.38, 574,423.79 and 225,263.16 is: 310,863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,248.38 : 574,423.79 = 225,263.16 : x
  2. Step 2: Convert to fraction form
    416,248.38/574,423.79 = 225,263.16/x
  3. Step 3: Cross multiply
    416,248.38x = 574,423.79 × 225,263.16
  4. Step 4: Simplify right side
    416,248.38x = 129,396,516,988.26
  5. Step 5: Solve for x
    x = 129,396,516,988.26/416,248.38
  6. Step 6: Final answer
    x = 310,863.71

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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.