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Finding the Fourth Proportional to 359,269.84, 495,792.16 and 206,318.04

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Solution

The fourth proportional to 359,269.84, 495,792.16 and 206,318.04 is: 284,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,269.84 : 495,792.16 = 206,318.04 : x
  2. Step 2: Convert to fraction form
    359,269.84/495,792.16 = 206,318.04/x
  3. Step 3: Cross multiply
    359,269.84x = 495,792.16 × 206,318.04
  4. Step 4: Simplify right side
    359,269.84x = 102,290,866,698.57
  5. Step 5: Solve for x
    x = 102,290,866,698.57/359,269.84
  6. Step 6: Final answer
    x = 284,718.77

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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.