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Finding the Fourth Proportional to 335,516.16, 462,859.71 and 199,472.93

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Solution

The fourth proportional to 335,516.16, 462,859.71 and 199,472.93 is: 275,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,516.16 : 462,859.71 = 199,472.93 : x
  2. Step 2: Convert to fraction form
    335,516.16/462,859.71 = 199,472.93/x
  3. Step 3: Cross multiply
    335,516.16x = 462,859.71 × 199,472.93
  4. Step 4: Simplify right side
    335,516.16x = 92,327,980,218.35
  5. Step 5: Solve for x
    x = 92,327,980,218.35/335,516.16
  6. Step 6: Final answer
    x = 275,181.92

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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.