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Finding the Fourth Proportional to 542,363.41, 813,553.32 and 205,313.57

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Solution

The fourth proportional to 542,363.41, 813,553.32 and 205,313.57 is: 307,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,363.41 : 813,553.32 = 205,313.57 : x
  2. Step 2: Convert to fraction form
    542,363.41/813,553.32 = 205,313.57/x
  3. Step 3: Cross multiply
    542,363.41x = 813,553.32 × 205,313.57
  4. Step 4: Simplify right side
    542,363.41x = 167,033,536,514.55
  5. Step 5: Solve for x
    x = 167,033,536,514.55/542,363.41
  6. Step 6: Final answer
    x = 307,973.46

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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.