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Finding the Fourth Proportional to 492,098.78, 679,096.32 and 265,744.28

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Solution

The fourth proportional to 492,098.78, 679,096.32 and 265,744.28 is: 366,727.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,098.78 : 679,096.32 = 265,744.28 : x
  2. Step 2: Convert to fraction form
    492,098.78/679,096.32 = 265,744.28/x
  3. Step 3: Cross multiply
    492,098.78x = 679,096.32 × 265,744.28
  4. Step 4: Simplify right side
    492,098.78x = 180,465,962,609.05
  5. Step 5: Solve for x
    x = 180,465,962,609.05/492,098.78
  6. Step 6: Final answer
    x = 366,727.11

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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.