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Finding the Fourth Proportional to 282,064.80, 423,097.20 and 268,942.80

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Solution

The fourth proportional to 282,064.80, 423,097.20 and 268,942.80 is: 403,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,064.80 : 423,097.20 = 268,942.80 : x
  2. Step 2: Convert to fraction form
    282,064.80/423,097.20 = 268,942.80/x
  3. Step 3: Cross multiply
    282,064.80x = 423,097.20 × 268,942.80
  4. Step 4: Simplify right side
    282,064.80x = 113,788,945,640.16
  5. Step 5: Solve for x
    x = 113,788,945,640.16/282,064.80
  6. Step 6: Final answer
    x = 403,414.20

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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.