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Finding the Fourth Proportional to 359,124.84, 537,997.68 and 200,873.52

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Solution

The fourth proportional to 359,124.84, 537,997.68 and 200,873.52 is: 300,924.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,124.84 : 537,997.68 = 200,873.52 : x
  2. Step 2: Convert to fraction form
    359,124.84/537,997.68 = 200,873.52/x
  3. Step 3: Cross multiply
    359,124.84x = 537,997.68 × 200,873.52
  4. Step 4: Simplify right side
    359,124.84x = 108,069,487,733.43
  5. Step 5: Solve for x
    x = 108,069,487,733.43/359,124.84
  6. Step 6: Final answer
    x = 300,924.57

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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.