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Finding the Fourth Proportional to 386,731.80, 580,097.70 and 209,584.80

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Solution

The fourth proportional to 386,731.80, 580,097.70 and 209,584.80 is: 314,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,731.80 : 580,097.70 = 209,584.80 : x
  2. Step 2: Convert to fraction form
    386,731.80/580,097.70 = 209,584.80/x
  3. Step 3: Cross multiply
    386,731.80x = 580,097.70 × 209,584.80
  4. Step 4: Simplify right side
    386,731.80x = 121,579,660,434.96
  5. Step 5: Solve for x
    x = 121,579,660,434.96/386,731.80
  6. Step 6: Final answer
    x = 314,377.20

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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.