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Finding the Fourth Proportional to 587,093.80, 880,986.30 and 213,068.20

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Solution

The fourth proportional to 587,093.80, 880,986.30 and 213,068.20 is: 319,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,093.80 : 880,986.30 = 213,068.20 : x
  2. Step 2: Convert to fraction form
    587,093.80/880,986.30 = 213,068.20/x
  3. Step 3: Cross multiply
    587,093.80x = 880,986.30 × 213,068.20
  4. Step 4: Simplify right side
    587,093.80x = 187,710,165,165.66
  5. Step 5: Solve for x
    x = 187,710,165,165.66/587,093.80
  6. Step 6: Final answer
    x = 319,727.73

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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.