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Finding the Fourth Proportional to 362,853.20, 544,279.80 and 269,541.20

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Solution

The fourth proportional to 362,853.20, 544,279.80 and 269,541.20 is: 404,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,853.20 : 544,279.80 = 269,541.20 : x
  2. Step 2: Convert to fraction form
    362,853.20/544,279.80 = 269,541.20/x
  3. Step 3: Cross multiply
    362,853.20x = 544,279.80 × 269,541.20
  4. Step 4: Simplify right side
    362,853.20x = 146,705,830,427.76
  5. Step 5: Solve for x
    x = 146,705,830,427.76/362,853.20
  6. Step 6: Final answer
    x = 404,311.80

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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.