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Finding the Fourth Proportional to 538,482.36, 807,714.48 and 159,401.46

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Solution

The fourth proportional to 538,482.36, 807,714.48 and 159,401.46 is: 239,099.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,482.36 : 807,714.48 = 159,401.46 : x
  2. Step 2: Convert to fraction form
    538,482.36/807,714.48 = 159,401.46/x
  3. Step 3: Cross multiply
    538,482.36x = 807,714.48 × 159,401.46
  4. Step 4: Simplify right side
    538,482.36x = 128,750,867,375.14
  5. Step 5: Solve for x
    x = 128,750,867,375.14/538,482.36
  6. Step 6: Final answer
    x = 239,099.51

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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.