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Finding the Fourth Proportional to 542,363.91, 813,554.07 and 205,314.07

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Solution

The fourth proportional to 542,363.91, 813,554.07 and 205,314.07 is: 307,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,363.91 : 813,554.07 = 205,314.07 : x
  2. Step 2: Convert to fraction form
    542,363.91/813,554.07 = 205,314.07/x
  3. Step 3: Cross multiply
    542,363.91x = 813,554.07 × 205,314.07
  4. Step 4: Simplify right side
    542,363.91x = 167,034,095,242.88
  5. Step 5: Solve for x
    x = 167,034,095,242.88/542,363.91
  6. Step 6: Final answer
    x = 307,974.21

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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.