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Finding the Fourth Proportional to 367,471.51, 507,124.90 and 204,140.38

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Solution

The fourth proportional to 367,471.51, 507,124.90 and 204,140.38 is: 281,721.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,471.51 : 507,124.90 = 204,140.38 : x
  2. Step 2: Convert to fraction form
    367,471.51/507,124.90 = 204,140.38/x
  3. Step 3: Cross multiply
    367,471.51x = 507,124.90 × 204,140.38
  4. Step 4: Simplify right side
    367,471.51x = 103,524,669,793.46
  5. Step 5: Solve for x
    x = 103,524,669,793.46/367,471.51
  6. Step 6: Final answer
    x = 281,721.63

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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.