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Finding the Fourth Proportional to 401,217.77, 601,731.14 and 161,332.23

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Solution

The fourth proportional to 401,217.77, 601,731.14 and 161,332.23 is: 241,959.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,217.77 : 601,731.14 = 161,332.23 : x
  2. Step 2: Convert to fraction form
    401,217.77/601,731.14 = 161,332.23/x
  3. Step 3: Cross multiply
    401,217.77x = 601,731.14 × 161,332.23
  4. Step 4: Simplify right side
    401,217.77x = 97,078,626,676.64
  5. Step 5: Solve for x
    x = 97,078,626,676.64/401,217.77
  6. Step 6: Final answer
    x = 241,959.94

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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.