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Finding the Fourth Proportional to 298,731.68, 412,161.28 and 177,776

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Solution

The fourth proportional to 298,731.68, 412,161.28 and 177,776 is: 245,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,731.68 : 412,161.28 = 177,776 : x
  2. Step 2: Convert to fraction form
    298,731.68/412,161.28 = 177,776/x
  3. Step 3: Cross multiply
    298,731.68x = 412,161.28 × 177,776
  4. Step 4: Simplify right side
    298,731.68x = 73,272,383,713.28
  5. Step 5: Solve for x
    x = 73,272,383,713.28/298,731.68
  6. Step 6: Final answer
    x = 245,278.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.