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Finding the Fourth Proportional to 359,264.84, 495,785.28 and 206,313.04

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Solution

The fourth proportional to 359,264.84, 495,785.28 and 206,313.04 is: 284,711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,264.84 : 495,785.28 = 206,313.04 : x
  2. Step 2: Convert to fraction form
    359,264.84/495,785.28 = 206,313.04/x
  3. Step 3: Cross multiply
    359,264.84x = 495,785.28 × 206,313.04
  4. Step 4: Simplify right side
    359,264.84x = 102,286,968,304.05
  5. Step 5: Solve for x
    x = 102,286,968,304.05/359,264.84
  6. Step 6: Final answer
    x = 284,711.88

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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.