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Finding the Fourth Proportional to 299,259.30, 412,921.26 and 178,411.74

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Solution

The fourth proportional to 299,259.30, 412,921.26 and 178,411.74 is: 246,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,259.30 : 412,921.26 = 178,411.74 : x
  2. Step 2: Convert to fraction form
    299,259.30/412,921.26 = 178,411.74/x
  3. Step 3: Cross multiply
    299,259.30x = 412,921.26 × 178,411.74
  4. Step 4: Simplify right side
    299,259.30x = 73,670,000,479.59
  5. Step 5: Solve for x
    x = 73,670,000,479.59/299,259.30
  6. Step 6: Final answer
    x = 246,174.47

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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.