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Finding the Fourth Proportional to 542,964.80, 816,196.80 and 386,278.40

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Solution

The fourth proportional to 542,964.80, 816,196.80 and 386,278.40 is: 580,662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,964.80 : 816,196.80 = 386,278.40 : x
  2. Step 2: Convert to fraction form
    542,964.80/816,196.80 = 386,278.40/x
  3. Step 3: Cross multiply
    542,964.80x = 816,196.80 × 386,278.40
  4. Step 4: Simplify right side
    542,964.80x = 315,279,193,989.12
  5. Step 5: Solve for x
    x = 315,279,193,989.12/542,964.80
  6. Step 6: Final answer
    x = 580,662.31

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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.