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Finding the Fourth Proportional to 541,231.60, 811,920.30 and 186,354.40

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Solution

The fourth proportional to 541,231.60, 811,920.30 and 186,354.40 is: 279,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,231.60 : 811,920.30 = 186,354.40 : x
  2. Step 2: Convert to fraction form
    541,231.60/811,920.30 = 186,354.40/x
  3. Step 3: Cross multiply
    541,231.60x = 811,920.30 × 186,354.40
  4. Step 4: Simplify right side
    541,231.60x = 151,304,920,354.32
  5. Step 5: Solve for x
    x = 151,304,920,354.32/541,231.60
  6. Step 6: Final answer
    x = 279,556.70

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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.