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Finding the Fourth Proportional to 402,591.25, 555,575.93 and 232,836.31

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Solution

The fourth proportional to 402,591.25, 555,575.93 and 232,836.31 is: 321,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,591.25 : 555,575.93 = 232,836.31 : x
  2. Step 2: Convert to fraction form
    402,591.25/555,575.93 = 232,836.31/x
  3. Step 3: Cross multiply
    402,591.25x = 555,575.93 × 232,836.31
  4. Step 4: Simplify right side
    402,591.25x = 129,358,249,466.02
  5. Step 5: Solve for x
    x = 129,358,249,466.02/402,591.25
  6. Step 6: Final answer
    x = 321,314.11

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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.