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Finding the Fourth Proportional to 416,162.48, 574,300.14 and 225,171.68

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Solution

The fourth proportional to 416,162.48, 574,300.14 and 225,171.68 is: 310,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,162.48 : 574,300.14 = 225,171.68 : x
  2. Step 2: Convert to fraction form
    416,162.48/574,300.14 = 225,171.68/x
  3. Step 3: Cross multiply
    416,162.48x = 574,300.14 × 225,171.68
  4. Step 4: Simplify right side
    416,162.48x = 129,316,127,348.04
  5. Step 5: Solve for x
    x = 129,316,127,348.04/416,162.48
  6. Step 6: Final answer
    x = 310,734.71

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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.