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Finding the Fourth Proportional to 416,230.74, 574,398.45 and 225,244.14

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Solution

The fourth proportional to 416,230.74, 574,398.45 and 225,244.14 is: 310,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,230.74 : 574,398.45 = 225,244.14 : x
  2. Step 2: Convert to fraction form
    416,230.74/574,398.45 = 225,244.14/x
  3. Step 3: Cross multiply
    416,230.74x = 574,398.45 × 225,244.14
  4. Step 4: Simplify right side
    416,230.74x = 129,379,884,887.58
  5. Step 5: Solve for x
    x = 129,379,884,887.58/416,230.74
  6. Step 6: Final answer
    x = 310,836.93

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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.