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Finding the Fourth Proportional to 359,044.68, 538,738.14 and 224,072.10

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Solution

The fourth proportional to 359,044.68, 538,738.14 and 224,072.10 is: 336,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,044.68 : 538,738.14 = 224,072.10 : x
  2. Step 2: Convert to fraction form
    359,044.68/538,738.14 = 224,072.10/x
  3. Step 3: Cross multiply
    359,044.68x = 538,738.14 × 224,072.10
  4. Step 4: Simplify right side
    359,044.68x = 120,716,186,379.89
  5. Step 5: Solve for x
    x = 120,716,186,379.89/359,044.68
  6. Step 6: Final answer
    x = 336,214.94

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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.