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Finding the Fourth Proportional to 268,308.30, 402,462.45 and 173,829.90

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Solution

The fourth proportional to 268,308.30, 402,462.45 and 173,829.90 is: 260,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,308.30 : 402,462.45 = 173,829.90 : x
  2. Step 2: Convert to fraction form
    268,308.30/402,462.45 = 173,829.90/x
  3. Step 3: Cross multiply
    268,308.30x = 402,462.45 × 173,829.90
  4. Step 4: Simplify right side
    268,308.30x = 69,960,007,437.26
  5. Step 5: Solve for x
    x = 69,960,007,437.26/268,308.30
  6. Step 6: Final answer
    x = 260,744.85

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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.