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Finding the Fourth Proportional to 492,633.54, 679,833.27 and 266,278.50

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Solution

The fourth proportional to 492,633.54, 679,833.27 and 266,278.50 is: 367,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,633.54 : 679,833.27 = 266,278.50 : x
  2. Step 2: Convert to fraction form
    492,633.54/679,833.27 = 266,278.50/x
  3. Step 3: Cross multiply
    492,633.54x = 679,833.27 × 266,278.50
  4. Step 4: Simplify right side
    492,633.54x = 181,024,983,385.70
  5. Step 5: Solve for x
    x = 181,024,983,385.70/492,633.54
  6. Step 6: Final answer
    x = 367,463.78

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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.