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Finding the Fourth Proportional to 322,335.74, 482,839.13 and 188,811.18

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Solution

The fourth proportional to 322,335.74, 482,839.13 and 188,811.18 is: 282,827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,335.74 : 482,839.13 = 188,811.18 : x
  2. Step 2: Convert to fraction form
    322,335.74/482,839.13 = 188,811.18/x
  3. Step 3: Cross multiply
    322,335.74x = 482,839.13 × 188,811.18
  4. Step 4: Simplify right side
    322,335.74x = 91,165,424,941.42
  5. Step 5: Solve for x
    x = 91,165,424,941.42/322,335.74
  6. Step 6: Final answer
    x = 282,827.55

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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.