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Finding the Fourth Proportional to 359,323.52, 495,860.64 and 206,364.96

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Solution

The fourth proportional to 359,323.52, 495,860.64 and 206,364.96 is: 284,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,323.52 : 495,860.64 = 206,364.96 : x
  2. Step 2: Convert to fraction form
    359,323.52/495,860.64 = 206,364.96/x
  3. Step 3: Cross multiply
    359,323.52x = 495,860.64 × 206,364.96
  4. Step 4: Simplify right side
    359,323.52x = 102,328,261,139.17
  5. Step 5: Solve for x
    x = 102,328,261,139.17/359,323.52
  6. Step 6: Final answer
    x = 284,780.30

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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.