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Finding the Fourth Proportional to 362,162.40, 542,595.60 and 174,760.80

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Solution

The fourth proportional to 362,162.40, 542,595.60 and 174,760.80 is: 261,828.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,162.40 : 542,595.60 = 174,760.80 : x
  2. Step 2: Convert to fraction form
    362,162.40/542,595.60 = 174,760.80/x
  3. Step 3: Cross multiply
    362,162.40x = 542,595.60 × 174,760.80
  4. Step 4: Simplify right side
    362,162.40x = 94,824,441,132.48
  5. Step 5: Solve for x
    x = 94,824,441,132.48/362,162.40
  6. Step 6: Final answer
    x = 261,828.51

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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.