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Finding the Fourth Proportional to 313,203.96, 432,580.32 and 206,252.04

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Solution

The fourth proportional to 313,203.96, 432,580.32 and 206,252.04 is: 284,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,203.96 : 432,580.32 = 206,252.04 : x
  2. Step 2: Convert to fraction form
    313,203.96/432,580.32 = 206,252.04/x
  3. Step 3: Cross multiply
    313,203.96x = 432,580.32 × 206,252.04
  4. Step 4: Simplify right side
    313,203.96x = 89,220,573,463.85
  5. Step 5: Solve for x
    x = 89,220,573,463.85/313,203.96
  6. Step 6: Final answer
    x = 284,864.13

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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.