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Finding the Fourth Proportional to 414,265.97, 571,681.60 and 232,977.84

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Solution

The fourth proportional to 414,265.97, 571,681.60 and 232,977.84 is: 321,506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,265.97 : 571,681.60 = 232,977.84 : x
  2. Step 2: Convert to fraction form
    414,265.97/571,681.60 = 232,977.84/x
  3. Step 3: Cross multiply
    414,265.97x = 571,681.60 × 232,977.84
  4. Step 4: Simplify right side
    414,265.97x = 133,189,144,335.74
  5. Step 5: Solve for x
    x = 133,189,144,335.74/414,265.97
  6. Step 6: Final answer
    x = 321,506.36

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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.