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Finding the Fourth Proportional to 297,687.80, 446,531.70 and 185,713.40

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Solution

The fourth proportional to 297,687.80, 446,531.70 and 185,713.40 is: 278,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,687.80 : 446,531.70 = 185,713.40 : x
  2. Step 2: Convert to fraction form
    297,687.80/446,531.70 = 185,713.40/x
  3. Step 3: Cross multiply
    297,687.80x = 446,531.70 × 185,713.40
  4. Step 4: Simplify right side
    297,687.80x = 82,926,920,214.78
  5. Step 5: Solve for x
    x = 82,926,920,214.78/297,687.80
  6. Step 6: Final answer
    x = 278,570.10

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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.