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Finding the Fourth Proportional to 361,018.76, 541,878.06 and 174,161.48

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Solution

The fourth proportional to 361,018.76, 541,878.06 and 174,161.48 is: 261,411.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,018.76 : 541,878.06 = 174,161.48 : x
  2. Step 2: Convert to fraction form
    361,018.76/541,878.06 = 174,161.48/x
  3. Step 3: Cross multiply
    361,018.76x = 541,878.06 × 174,161.48
  4. Step 4: Simplify right side
    361,018.76x = 94,374,284,909.13
  5. Step 5: Solve for x
    x = 94,374,284,909.13/361,018.76
  6. Step 6: Final answer
    x = 261,411.03

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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.