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Finding the Fourth Proportional to 492,793.57, 680,055 and 277,933.15

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Solution

The fourth proportional to 492,793.57, 680,055 and 277,933.15 is: 383,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,793.57 : 680,055 = 277,933.15 : x
  2. Step 2: Convert to fraction form
    492,793.57/680,055 = 277,933.15/x
  3. Step 3: Cross multiply
    492,793.57x = 680,055 × 277,933.15
  4. Step 4: Simplify right side
    492,793.57x = 189,009,828,323.25
  5. Step 5: Solve for x
    x = 189,009,828,323.25/492,793.57
  6. Step 6: Final answer
    x = 383,547.68

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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.