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Finding the Fourth Proportional to 343,199.91, 514,493.67 and 174,625.95

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Solution

The fourth proportional to 343,199.91, 514,493.67 and 174,625.95 is: 261,783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,199.91 : 514,493.67 = 174,625.95 : x
  2. Step 2: Convert to fraction form
    343,199.91/514,493.67 = 174,625.95/x
  3. Step 3: Cross multiply
    343,199.91x = 514,493.67 × 174,625.95
  4. Step 4: Simplify right side
    343,199.91x = 89,843,945,892.74
  5. Step 5: Solve for x
    x = 89,843,945,892.74/343,199.91
  6. Step 6: Final answer
    x = 261,783.13

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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.