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Finding the Fourth Proportional to 493,581.38, 740,372.16 and 178,038.25

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Solution

The fourth proportional to 493,581.38, 740,372.16 and 178,038.25 is: 267,057.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,581.38 : 740,372.16 = 178,038.25 : x
  2. Step 2: Convert to fraction form
    493,581.38/740,372.16 = 178,038.25/x
  3. Step 3: Cross multiply
    493,581.38x = 740,372.16 × 178,038.25
  4. Step 4: Simplify right side
    493,581.38x = 131,814,562,531.83
  5. Step 5: Solve for x
    x = 131,814,562,531.83/493,581.38
  6. Step 6: Final answer
    x = 267,057.41

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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.