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Finding the Fourth Proportional to 343,187.16, 514,474.56 and 174,613.20

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Solution

The fourth proportional to 343,187.16, 514,474.56 and 174,613.20 is: 261,764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,187.16 : 514,474.56 = 174,613.20 : x
  2. Step 2: Convert to fraction form
    343,187.16/514,474.56 = 174,613.20/x
  3. Step 3: Cross multiply
    343,187.16x = 514,474.56 × 174,613.20
  4. Step 4: Simplify right side
    343,187.16x = 89,834,049,240.19
  5. Step 5: Solve for x
    x = 89,834,049,240.19/343,187.16
  6. Step 6: Final answer
    x = 261,764.02

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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.