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Finding the Fourth Proportional to 502,944.36, 754,572.38 and 174,337.28

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Solution

The fourth proportional to 502,944.36, 754,572.38 and 174,337.28 is: 261,559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,944.36 : 754,572.38 = 174,337.28 : x
  2. Step 2: Convert to fraction form
    502,944.36/754,572.38 = 174,337.28/x
  3. Step 3: Cross multiply
    502,944.36x = 754,572.38 × 174,337.28
  4. Step 4: Simplify right side
    502,944.36x = 131,550,096,292.33
  5. Step 5: Solve for x
    x = 131,550,096,292.33/502,944.36
  6. Step 6: Final answer
    x = 261,559.94

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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.