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Finding the Fourth Proportional to 359,256.80, 539,468.40 and 201,792.80

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Solution

The fourth proportional to 359,256.80, 539,468.40 and 201,792.80 is: 303,016.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,256.80 : 539,468.40 = 201,792.80 : x
  2. Step 2: Convert to fraction form
    359,256.80/539,468.40 = 201,792.80/x
  3. Step 3: Cross multiply
    359,256.80x = 539,468.40 × 201,792.80
  4. Step 4: Simplify right side
    359,256.80x = 108,860,838,947.52
  5. Step 5: Solve for x
    x = 108,860,838,947.52/359,256.80
  6. Step 6: Final answer
    x = 303,016.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.