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Finding the Fourth Proportional to 416,154.51, 574,231.65 and 252,726.03

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Solution

The fourth proportional to 416,154.51, 574,231.65 and 252,726.03 is: 348,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,154.51 : 574,231.65 = 252,726.03 : x
  2. Step 2: Convert to fraction form
    416,154.51/574,231.65 = 252,726.03/x
  3. Step 3: Cross multiply
    416,154.51x = 574,231.65 × 252,726.03
  4. Step 4: Simplify right side
    416,154.51x = 145,123,285,204.85
  5. Step 5: Solve for x
    x = 145,123,285,204.85/416,154.51
  6. Step 6: Final answer
    x = 348,724.53

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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.