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Finding the Fourth Proportional to 362,520.40, 542,705.40 and 269,438.80

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Solution

The fourth proportional to 362,520.40, 542,705.40 and 269,438.80 is: 403,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,520.40 : 542,705.40 = 269,438.80 : x
  2. Step 2: Convert to fraction form
    362,520.40/542,705.40 = 269,438.80/x
  3. Step 3: Cross multiply
    362,520.40x = 542,705.40 × 269,438.80
  4. Step 4: Simplify right side
    362,520.40x = 146,225,891,729.52
  5. Step 5: Solve for x
    x = 146,225,891,729.52/362,520.40
  6. Step 6: Final answer
    x = 403,359.07

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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.