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Finding the Fourth Proportional to 361,839.96, 542,850.66 and 316,437.84

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Solution

The fourth proportional to 361,839.96, 542,850.66 and 316,437.84 is: 474,736.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,839.96 : 542,850.66 = 316,437.84 : x
  2. Step 2: Convert to fraction form
    361,839.96/542,850.66 = 316,437.84/x
  3. Step 3: Cross multiply
    361,839.96x = 542,850.66 × 316,437.84
  4. Step 4: Simplify right side
    361,839.96x = 171,778,490,292.97
  5. Step 5: Solve for x
    x = 171,778,490,292.97/361,839.96
  6. Step 6: Final answer
    x = 474,736.10

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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.