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Finding the Fourth Proportional to 299,483.79, 413,138.43 and 178,539.86

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Solution

The fourth proportional to 299,483.79, 413,138.43 and 178,539.86 is: 246,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,483.79 : 413,138.43 = 178,539.86 : x
  2. Step 2: Convert to fraction form
    299,483.79/413,138.43 = 178,539.86/x
  3. Step 3: Cross multiply
    299,483.79x = 413,138.43 × 178,539.86
  4. Step 4: Simplify right side
    299,483.79x = 73,761,675,387.13
  5. Step 5: Solve for x
    x = 73,761,675,387.13/299,483.79
  6. Step 6: Final answer
    x = 246,296.05

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Why These Related Problems?

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