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Finding the Fourth Proportional to 416,409.38, 574,644.80 and 225,422.62

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Solution

The fourth proportional to 416,409.38, 574,644.80 and 225,422.62 is: 311,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,409.38 : 574,644.80 = 225,422.62 : x
  2. Step 2: Convert to fraction form
    416,409.38/574,644.80 = 225,422.62/x
  3. Step 3: Cross multiply
    416,409.38x = 574,644.80 × 225,422.62
  4. Step 4: Simplify right side
    416,409.38x = 129,537,936,385.38
  5. Step 5: Solve for x
    x = 129,537,936,385.38/416,409.38
  6. Step 6: Final answer
    x = 311,083.14

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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.