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Finding the Fourth Proportional to 359,032.69, 538,720.10 and 224,060.09

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Solution

The fourth proportional to 359,032.69, 538,720.10 and 224,060.09 is: 336,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,032.69 : 538,720.10 = 224,060.09 : x
  2. Step 2: Convert to fraction form
    359,032.69/538,720.10 = 224,060.09/x
  3. Step 3: Cross multiply
    359,032.69x = 538,720.10 × 224,060.09
  4. Step 4: Simplify right side
    359,032.69x = 120,705,674,147.43
  5. Step 5: Solve for x
    x = 120,705,674,147.43/359,032.69
  6. Step 6: Final answer
    x = 336,196.90

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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.