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Finding the Fourth Proportional to 359,222.64, 538,677.81 and 102,998.79

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Solution

The fourth proportional to 359,222.64, 538,677.81 and 102,998.79 is: 154,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,222.64 : 538,677.81 = 102,998.79 : x
  2. Step 2: Convert to fraction form
    359,222.64/538,677.81 = 102,998.79/x
  3. Step 3: Cross multiply
    359,222.64x = 538,677.81 × 102,998.79
  4. Step 4: Simplify right side
    359,222.64x = 55,483,162,629.85
  5. Step 5: Solve for x
    x = 55,483,162,629.85/359,222.64
  6. Step 6: Final answer
    x = 154,453.41

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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.