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Finding the Fourth Proportional to 401,472.72, 601,026.89 and 268,021.98

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Solution

The fourth proportional to 401,472.72, 601,026.89 and 268,021.98 is: 401,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,472.72 : 601,026.89 = 268,021.98 : x
  2. Step 2: Convert to fraction form
    401,472.72/601,026.89 = 268,021.98/x
  3. Step 3: Cross multiply
    401,472.72x = 601,026.89 × 268,021.98
  4. Step 4: Simplify right side
    401,472.72x = 161,088,415,750.93
  5. Step 5: Solve for x
    x = 161,088,415,750.93/401,472.72
  6. Step 6: Final answer
    x = 401,243.74

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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.