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Finding the Fourth Proportional to 492,760.78, 680,010.66 and 266,406.28

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Solution

The fourth proportional to 492,760.78, 680,010.66 and 266,406.28 is: 367,641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,760.78 : 680,010.66 = 266,406.28 : x
  2. Step 2: Convert to fraction form
    492,760.78/680,010.66 = 266,406.28/x
  3. Step 3: Cross multiply
    492,760.78x = 680,010.66 × 266,406.28
  4. Step 4: Simplify right side
    492,760.78x = 181,159,110,290.95
  5. Step 5: Solve for x
    x = 181,159,110,290.95/492,760.78
  6. Step 6: Final answer
    x = 367,641.09

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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.