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Finding the Fourth Proportional to 424,098.65, 585,256.57 and 233,107.94

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Solution

The fourth proportional to 424,098.65, 585,256.57 and 233,107.94 is: 321,689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,098.65 : 585,256.57 = 233,107.94 : x
  2. Step 2: Convert to fraction form
    424,098.65/585,256.57 = 233,107.94/x
  3. Step 3: Cross multiply
    424,098.65x = 585,256.57 × 233,107.94
  4. Step 4: Simplify right side
    424,098.65x = 136,427,949,895.11
  5. Step 5: Solve for x
    x = 136,427,949,895.11/424,098.65
  6. Step 6: Final answer
    x = 321,689.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.