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Finding the Fourth Proportional to 543,352.81, 814,990.74 and 143,984.74

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Solution

The fourth proportional to 543,352.81, 814,990.74 and 143,984.74 is: 215,966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,352.81 : 814,990.74 = 143,984.74 : x
  2. Step 2: Convert to fraction form
    543,352.81/814,990.74 = 143,984.74/x
  3. Step 3: Cross multiply
    543,352.81x = 814,990.74 × 143,984.74
  4. Step 4: Simplify right side
    543,352.81x = 117,346,229,801.31
  5. Step 5: Solve for x
    x = 117,346,229,801.31/543,352.81
  6. Step 6: Final answer
    x = 215,966.91

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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.