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Finding the Fourth Proportional to 359,140.79, 495,610.29 and 206,182.64

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Solution

The fourth proportional to 359,140.79, 495,610.29 and 206,182.64 is: 284,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,140.79 : 495,610.29 = 206,182.64 : x
  2. Step 2: Convert to fraction form
    359,140.79/495,610.29 = 206,182.64/x
  3. Step 3: Cross multiply
    359,140.79x = 495,610.29 × 206,182.64
  4. Step 4: Simplify right side
    359,140.79x = 102,186,238,003.37
  5. Step 5: Solve for x
    x = 102,186,238,003.37/359,140.79
  6. Step 6: Final answer
    x = 284,529.75

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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.