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Finding the Fourth Proportional to 361,039.76, 541,870.68 and 174,208.40

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Solution

The fourth proportional to 361,039.76, 541,870.68 and 174,208.40 is: 261,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,039.76 : 541,870.68 = 174,208.40 : x
  2. Step 2: Convert to fraction form
    361,039.76/541,870.68 = 174,208.40/x
  3. Step 3: Cross multiply
    361,039.76x = 541,870.68 × 174,208.40
  4. Step 4: Simplify right side
    361,039.76x = 94,398,424,169.71
  5. Step 5: Solve for x
    x = 94,398,424,169.71/361,039.76
  6. Step 6: Final answer
    x = 261,462.68

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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.