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Finding the Fourth Proportional to 400,953.74, 601,357.93 and 161,057.98

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Solution

The fourth proportional to 400,953.74, 601,357.93 and 161,057.98 is: 241,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,953.74 : 601,357.93 = 161,057.98 : x
  2. Step 2: Convert to fraction form
    400,953.74/601,357.93 = 161,057.98/x
  3. Step 3: Cross multiply
    400,953.74x = 601,357.93 × 161,057.98
  4. Step 4: Simplify right side
    400,953.74x = 96,853,493,462.78
  5. Step 5: Solve for x
    x = 96,853,493,462.78/400,953.74
  6. Step 6: Final answer
    x = 241,557.78

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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.