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Finding the Fourth Proportional to 292,844.30, 438,765.13 and 159,818

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Solution

The fourth proportional to 292,844.30, 438,765.13 and 159,818 is: 239,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,844.30 : 438,765.13 = 159,818 : x
  2. Step 2: Convert to fraction form
    292,844.30/438,765.13 = 159,818/x
  3. Step 3: Cross multiply
    292,844.30x = 438,765.13 × 159,818
  4. Step 4: Simplify right side
    292,844.30x = 70,122,565,546.34
  5. Step 5: Solve for x
    x = 70,122,565,546.34/292,844.30
  6. Step 6: Final answer
    x = 239,453.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.