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Finding the Fourth Proportional to 362,223.80, 542,817.30 and 266,708.60

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Solution

The fourth proportional to 362,223.80, 542,817.30 and 266,708.60 is: 399,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,223.80 : 542,817.30 = 266,708.60 : x
  2. Step 2: Convert to fraction form
    362,223.80/542,817.30 = 266,708.60/x
  3. Step 3: Cross multiply
    362,223.80x = 542,817.30 × 266,708.60
  4. Step 4: Simplify right side
    362,223.80x = 144,774,042,138.78
  5. Step 5: Solve for x
    x = 144,774,042,138.78/362,223.80
  6. Step 6: Final answer
    x = 399,681.20

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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.