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Finding the Fourth Proportional to 334,474.86, 461,576.51 and 181,513.01

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Solution

The fourth proportional to 334,474.86, 461,576.51 and 181,513.01 is: 250,488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,474.86 : 461,576.51 = 181,513.01 : x
  2. Step 2: Convert to fraction form
    334,474.86/461,576.51 = 181,513.01/x
  3. Step 3: Cross multiply
    334,474.86x = 461,576.51 × 181,513.01
  4. Step 4: Simplify right side
    334,474.86x = 83,782,142,602.45
  5. Step 5: Solve for x
    x = 83,782,142,602.45/334,474.86
  6. Step 6: Final answer
    x = 250,488.61

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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.