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Finding the Fourth Proportional to 313,494.19, 432,801.32 and 206,375.61

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Solution

The fourth proportional to 313,494.19, 432,801.32 and 206,375.61 is: 284,916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,494.19 : 432,801.32 = 206,375.61 : x
  2. Step 2: Convert to fraction form
    313,494.19/432,801.32 = 206,375.61/x
  3. Step 3: Cross multiply
    313,494.19x = 432,801.32 × 206,375.61
  4. Step 4: Simplify right side
    313,494.19x = 89,319,637,807.64
  5. Step 5: Solve for x
    x = 89,319,637,807.64/313,494.19
  6. Step 6: Final answer
    x = 284,916.40

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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.