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Finding the Fourth Proportional to 497,204.80, 745,807.27 and 177,343.73

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Solution

The fourth proportional to 497,204.80, 745,807.27 and 177,343.73 is: 266,015.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,204.80 : 745,807.27 = 177,343.73 : x
  2. Step 2: Convert to fraction form
    497,204.80/745,807.27 = 177,343.73/x
  3. Step 3: Cross multiply
    497,204.80x = 745,807.27 × 177,343.73
  4. Step 4: Simplify right side
    497,204.80x = 132,264,244,544.08
  5. Step 5: Solve for x
    x = 132,264,244,544.08/497,204.80
  6. Step 6: Final answer
    x = 266,015.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.