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Finding the Fourth Proportional to 492,076, 679,013.85 and 288,116.38

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Solution

The fourth proportional to 492,076, 679,013.85 and 288,116.38 is: 397,570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,076 : 679,013.85 = 288,116.38 : x
  2. Step 2: Convert to fraction form
    492,076/679,013.85 = 288,116.38/x
  3. Step 3: Cross multiply
    492,076x = 679,013.85 × 288,116.38
  4. Step 4: Simplify right side
    492,076x = 195,635,012,431.86
  5. Step 5: Solve for x
    x = 195,635,012,431.86/492,076
  6. Step 6: Final answer
    x = 397,570.73

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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.