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Finding the Fourth Proportional to 359,076.16, 495,550.47 and 206,139.25

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Solution

The fourth proportional to 359,076.16, 495,550.47 and 206,139.25 is: 284,486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,076.16 : 495,550.47 = 206,139.25 : x
  2. Step 2: Convert to fraction form
    359,076.16/495,550.47 = 206,139.25/x
  3. Step 3: Cross multiply
    359,076.16x = 495,550.47 × 206,139.25
  4. Step 4: Simplify right side
    359,076.16x = 102,152,402,222.95
  5. Step 5: Solve for x
    x = 102,152,402,222.95/359,076.16
  6. Step 6: Final answer
    x = 284,486.73

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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.