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Finding the Fourth Proportional to 268,306.30, 402,459.45 and 173,827.90

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Solution

The fourth proportional to 268,306.30, 402,459.45 and 173,827.90 is: 260,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,306.30 : 402,459.45 = 173,827.90 : x
  2. Step 2: Convert to fraction form
    268,306.30/402,459.45 = 173,827.90/x
  3. Step 3: Cross multiply
    268,306.30x = 402,459.45 × 173,827.90
  4. Step 4: Simplify right side
    268,306.30x = 69,958,681,028.66
  5. Step 5: Solve for x
    x = 69,958,681,028.66/268,306.30
  6. Step 6: Final answer
    x = 260,741.85

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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.