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Finding the Fourth Proportional to 492,594.48, 679,781.30 and 277,734.02

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Solution

The fourth proportional to 492,594.48, 679,781.30 and 277,734.02 is: 383,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,594.48 : 679,781.30 = 277,734.02 : x
  2. Step 2: Convert to fraction form
    492,594.48/679,781.30 = 277,734.02/x
  3. Step 3: Cross multiply
    492,594.48x = 679,781.30 × 277,734.02
  4. Step 4: Simplify right side
    492,594.48x = 188,798,388,382.25
  5. Step 5: Solve for x
    x = 188,798,388,382.25/492,594.48
  6. Step 6: Final answer
    x = 383,273.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.