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Finding the Fourth Proportional to 359,280.82, 495,790.86 and 206,211.28

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Solution

The fourth proportional to 359,280.82, 495,790.86 and 206,211.28 is: 284,562.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,280.82 : 495,790.86 = 206,211.28 : x
  2. Step 2: Convert to fraction form
    359,280.82/495,790.86 = 206,211.28/x
  3. Step 3: Cross multiply
    359,280.82x = 495,790.86 × 206,211.28
  4. Step 4: Simplify right side
    359,280.82x = 102,237,667,852.90
  5. Step 5: Solve for x
    x = 102,237,667,852.90/359,280.82
  6. Step 6: Final answer
    x = 284,562.00

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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.