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Finding the Fourth Proportional to 359,010.53, 495,454.02 and 206,047.50

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Solution

The fourth proportional to 359,010.53, 495,454.02 and 206,047.50 is: 284,356.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,010.53 : 495,454.02 = 206,047.50 : x
  2. Step 2: Convert to fraction form
    359,010.53/495,454.02 = 206,047.50/x
  3. Step 3: Cross multiply
    359,010.53x = 495,454.02 × 206,047.50
  4. Step 4: Simplify right side
    359,010.53x = 102,087,062,185.95
  5. Step 5: Solve for x
    x = 102,087,062,185.95/359,010.53
  6. Step 6: Final answer
    x = 284,356.74

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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.