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Finding the Fourth Proportional to 497,020.75, 745,531.13 and 123,043.75

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Solution

The fourth proportional to 497,020.75, 745,531.13 and 123,043.75 is: 184,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,020.75 : 745,531.13 = 123,043.75 : x
  2. Step 2: Convert to fraction form
    497,020.75/745,531.13 = 123,043.75/x
  3. Step 3: Cross multiply
    497,020.75x = 745,531.13 × 123,043.75
  4. Step 4: Simplify right side
    497,020.75x = 91,732,945,976.94
  5. Step 5: Solve for x
    x = 91,732,945,976.94/497,020.75
  6. Step 6: Final answer
    x = 184,565.63

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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.