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Finding the Fourth Proportional to 361,571.60, 542,443.80 and 174,429.20

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Solution

The fourth proportional to 361,571.60, 542,443.80 and 174,429.20 is: 261,685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,571.60 : 542,443.80 = 174,429.20 : x
  2. Step 2: Convert to fraction form
    361,571.60/542,443.80 = 174,429.20/x
  3. Step 3: Cross multiply
    361,571.60x = 542,443.80 × 174,429.20
  4. Step 4: Simplify right side
    361,571.60x = 94,618,038,078.96
  5. Step 5: Solve for x
    x = 94,618,038,078.96/361,571.60
  6. Step 6: Final answer
    x = 261,685.48

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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.