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Finding the Fourth Proportional to 542,705.95, 814,097.79 and 143,342.74

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Solution

The fourth proportional to 542,705.95, 814,097.79 and 143,342.74 is: 215,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,705.95 : 814,097.79 = 143,342.74 : x
  2. Step 2: Convert to fraction form
    542,705.95/814,097.79 = 143,342.74/x
  3. Step 3: Cross multiply
    542,705.95x = 814,097.79 × 143,342.74
  4. Step 4: Simplify right side
    542,705.95x = 116,695,007,846.55
  5. Step 5: Solve for x
    x = 116,695,007,846.55/542,705.95
  6. Step 6: Final answer
    x = 215,024.38

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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.