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Finding the Fourth Proportional to 268,302.66, 402,466.20 and 189,767.46

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Solution

The fourth proportional to 268,302.66, 402,466.20 and 189,767.46 is: 284,659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,302.66 : 402,466.20 = 189,767.46 : x
  2. Step 2: Convert to fraction form
    268,302.66/402,466.20 = 189,767.46/x
  3. Step 3: Cross multiply
    268,302.66x = 402,466.20 × 189,767.46
  4. Step 4: Simplify right side
    268,302.66x = 76,374,988,509.85
  5. Step 5: Solve for x
    x = 76,374,988,509.85/268,302.66
  6. Step 6: Final answer
    x = 284,659.83

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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.