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Finding the Fourth Proportional to 496,808.54, 745,225.10 and 181,265.45

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Solution

The fourth proportional to 496,808.54, 745,225.10 and 181,265.45 is: 271,902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,808.54 : 745,225.10 = 181,265.45 : x
  2. Step 2: Convert to fraction form
    496,808.54/745,225.10 = 181,265.45/x
  3. Step 3: Cross multiply
    496,808.54x = 745,225.10 × 181,265.45
  4. Step 4: Simplify right side
    496,808.54x = 135,083,558,470.34
  5. Step 5: Solve for x
    x = 135,083,558,470.34/496,808.54
  6. Step 6: Final answer
    x = 271,902.65

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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.