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Finding the Fourth Proportional to 365,705.40, 548,360.86 and 165,916.78

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Solution

The fourth proportional to 365,705.40, 548,360.86 and 165,916.78 is: 248,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,705.40 : 548,360.86 = 165,916.78 : x
  2. Step 2: Convert to fraction form
    365,705.40/548,360.86 = 165,916.78/x
  3. Step 3: Cross multiply
    365,705.40x = 548,360.86 × 165,916.78
  4. Step 4: Simplify right side
    365,705.40x = 90,982,268,169.23
  5. Step 5: Solve for x
    x = 90,982,268,169.23/365,705.40
  6. Step 6: Final answer
    x = 248,785.68

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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.