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Finding the Fourth Proportional to 415,030.77, 622,452.71 and 270,891.23

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Solution

The fourth proportional to 415,030.77, 622,452.71 and 270,891.23 is: 406,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,030.77 : 622,452.71 = 270,891.23 : x
  2. Step 2: Convert to fraction form
    415,030.77/622,452.71 = 270,891.23/x
  3. Step 3: Cross multiply
    415,030.77x = 622,452.71 × 270,891.23
  4. Step 4: Simplify right side
    415,030.77x = 168,616,980,228.73
  5. Step 5: Solve for x
    x = 168,616,980,228.73/415,030.77
  6. Step 6: Final answer
    x = 406,275.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.