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Finding the Fourth Proportional to 282,676.53, 424,012.64 and 72,314.13

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Solution

The fourth proportional to 282,676.53, 424,012.64 and 72,314.13 is: 108,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,676.53 : 424,012.64 = 72,314.13 : x
  2. Step 2: Convert to fraction form
    282,676.53/424,012.64 = 72,314.13/x
  3. Step 3: Cross multiply
    282,676.53x = 424,012.64 × 72,314.13
  4. Step 4: Simplify right side
    282,676.53x = 30,662,104,809.03
  5. Step 5: Solve for x
    x = 30,662,104,809.03/282,676.53
  6. Step 6: Final answer
    x = 108,470.64

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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.