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Finding the Fourth Proportional to 416,230.24, 574,397.76 and 225,243.64

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Solution

The fourth proportional to 416,230.24, 574,397.76 and 225,243.64 is: 310,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,230.24 : 574,397.76 = 225,243.64 : x
  2. Step 2: Convert to fraction form
    416,230.24/574,397.76 = 225,243.64/x
  3. Step 3: Cross multiply
    416,230.24x = 574,397.76 × 225,243.64
  4. Step 4: Simplify right side
    416,230.24x = 129,379,442,270.25
  5. Step 5: Solve for x
    x = 129,379,442,270.25/416,230.24
  6. Step 6: Final answer
    x = 310,836.24

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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.