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Finding the Fourth Proportional to 359,126.84, 538,000.68 and 200,875.52

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Solution

The fourth proportional to 359,126.84, 538,000.68 and 200,875.52 is: 300,927.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,126.84 : 538,000.68 = 200,875.52 : x
  2. Step 2: Convert to fraction form
    359,126.84/538,000.68 = 200,875.52/x
  3. Step 3: Cross multiply
    359,126.84x = 538,000.68 × 200,875.52
  4. Step 4: Simplify right side
    359,126.84x = 108,071,166,355.35
  5. Step 5: Solve for x
    x = 108,071,166,355.35/359,126.84
  6. Step 6: Final answer
    x = 300,927.57

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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.