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Finding the Fourth Proportional to 282,723.60, 424,085.40 and 244,232.40

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Solution

The fourth proportional to 282,723.60, 424,085.40 and 244,232.40 is: 366,348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,723.60 : 424,085.40 = 244,232.40 : x
  2. Step 2: Convert to fraction form
    282,723.60/424,085.40 = 244,232.40/x
  3. Step 3: Cross multiply
    282,723.60x = 424,085.40 × 244,232.40
  4. Step 4: Simplify right side
    282,723.60x = 103,575,395,046.96
  5. Step 5: Solve for x
    x = 103,575,395,046.96/282,723.60
  6. Step 6: Final answer
    x = 366,348.60

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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.