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Finding the Fourth Proportional to 359,200.54, 538,800.81 and 159,473.98

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Solution

The fourth proportional to 359,200.54, 538,800.81 and 159,473.98 is: 239,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,200.54 : 538,800.81 = 159,473.98 : x
  2. Step 2: Convert to fraction form
    359,200.54/538,800.81 = 159,473.98/x
  3. Step 3: Cross multiply
    359,200.54x = 538,800.81 × 159,473.98
  4. Step 4: Simplify right side
    359,200.54x = 85,924,709,597.92
  5. Step 5: Solve for x
    x = 85,924,709,597.92/359,200.54
  6. Step 6: Final answer
    x = 239,210.97

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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.