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Finding the Fourth Proportional to 359,310.84, 538,375.14 and 284,908.92

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Solution

The fourth proportional to 359,310.84, 538,375.14 and 284,908.92 is: 426,894.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,310.84 : 538,375.14 = 284,908.92 : x
  2. Step 2: Convert to fraction form
    359,310.84/538,375.14 = 284,908.92/x
  3. Step 3: Cross multiply
    359,310.84x = 538,375.14 × 284,908.92
  4. Step 4: Simplify right side
    359,310.84x = 153,387,879,692.25
  5. Step 5: Solve for x
    x = 153,387,879,692.25/359,310.84
  6. Step 6: Final answer
    x = 426,894.66

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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.