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Finding the Fourth Proportional to 544,091.28, 816,275.16 and 319,641.48

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Solution

The fourth proportional to 544,091.28, 816,275.16 and 319,641.48 is: 479,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,091.28 : 816,275.16 = 319,641.48 : x
  2. Step 2: Convert to fraction form
    544,091.28/816,275.16 = 319,641.48/x
  3. Step 3: Cross multiply
    544,091.28x = 816,275.16 × 319,641.48
  4. Step 4: Simplify right side
    544,091.28x = 260,915,400,229.64
  5. Step 5: Solve for x
    x = 260,915,400,229.64/544,091.28
  6. Step 6: Final answer
    x = 479,543.43

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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.