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Finding the Fourth Proportional to 332,642.40, 498,963.60 and 164,243.40

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Solution

The fourth proportional to 332,642.40, 498,963.60 and 164,243.40 is: 246,365.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,642.40 : 498,963.60 = 164,243.40 : x
  2. Step 2: Convert to fraction form
    332,642.40/498,963.60 = 164,243.40/x
  3. Step 3: Cross multiply
    332,642.40x = 498,963.60 × 164,243.40
  4. Step 4: Simplify right side
    332,642.40x = 81,951,478,140.24
  5. Step 5: Solve for x
    x = 81,951,478,140.24/332,642.40
  6. Step 6: Final answer
    x = 246,365.10

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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.