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Finding the Fourth Proportional to 492,097.86, 679,091.94 and 277,306.92

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Solution

The fourth proportional to 492,097.86, 679,091.94 and 277,306.92 is: 382,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,097.86 : 679,091.94 = 277,306.92 : x
  2. Step 2: Convert to fraction form
    492,097.86/679,091.94 = 277,306.92/x
  3. Step 3: Cross multiply
    492,097.86x = 679,091.94 × 277,306.92
  4. Step 4: Simplify right side
    492,097.86x = 188,316,894,278.23
  5. Step 5: Solve for x
    x = 188,316,894,278.23/492,097.86
  6. Step 6: Final answer
    x = 382,681.80

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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.