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Finding the Fourth Proportional to 359,014.56, 538,013.36 and 199,160.35

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Solution

The fourth proportional to 359,014.56, 538,013.36 and 199,160.35 is: 298,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,014.56 : 538,013.36 = 199,160.35 : x
  2. Step 2: Convert to fraction form
    359,014.56/538,013.36 = 199,160.35/x
  3. Step 3: Cross multiply
    359,014.56x = 538,013.36 × 199,160.35
  4. Step 4: Simplify right side
    359,014.56x = 107,150,929,082.28
  5. Step 5: Solve for x
    x = 107,150,929,082.28/359,014.56
  6. Step 6: Final answer
    x = 298,458.45

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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.