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Finding the Fourth Proportional to 359,335.31, 495,881.73 and 206,383.41

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Solution

The fourth proportional to 359,335.31, 495,881.73 and 206,383.41 is: 284,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,335.31 : 495,881.73 = 206,383.41 : x
  2. Step 2: Convert to fraction form
    359,335.31/495,881.73 = 206,383.41/x
  3. Step 3: Cross multiply
    359,335.31x = 495,881.73 × 206,383.41
  4. Step 4: Simplify right side
    359,335.31x = 102,341,762,394.10
  5. Step 5: Solve for x
    x = 102,341,762,394.10/359,335.31
  6. Step 6: Final answer
    x = 284,808.54

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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.