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Finding the Fourth Proportional to 492,732.74, 679,969.74 and 277,871.24

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Solution

The fourth proportional to 492,732.74, 679,969.74 and 277,871.24 is: 383,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,732.74 : 679,969.74 = 277,871.24 : x
  2. Step 2: Convert to fraction form
    492,732.74/679,969.74 = 277,871.24/x
  3. Step 3: Cross multiply
    492,732.74x = 679,969.74 × 277,871.24
  4. Step 4: Simplify right side
    492,732.74x = 188,944,034,816.28
  5. Step 5: Solve for x
    x = 188,944,034,816.28/492,732.74
  6. Step 6: Final answer
    x = 383,461.50

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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.