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Finding the Fourth Proportional to 416,154.48, 574,231.61 and 252,726

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Solution

The fourth proportional to 416,154.48, 574,231.61 and 252,726 is: 348,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,154.48 : 574,231.61 = 252,726 : x
  2. Step 2: Convert to fraction form
    416,154.48/574,231.61 = 252,726/x
  3. Step 3: Cross multiply
    416,154.48x = 574,231.61 × 252,726
  4. Step 4: Simplify right side
    416,154.48x = 145,123,256,605.23
  5. Step 5: Solve for x
    x = 145,123,256,605.23/416,154.48
  6. Step 6: Final answer
    x = 348,724.48

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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.