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Finding the Fourth Proportional to 367,407.56, 507,005.16 and 204,074.66

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Solution

The fourth proportional to 367,407.56, 507,005.16 and 204,074.66 is: 281,613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,407.56 : 507,005.16 = 204,074.66 : x
  2. Step 2: Convert to fraction form
    367,407.56/507,005.16 = 204,074.66/x
  3. Step 3: Cross multiply
    367,407.56x = 507,005.16 × 204,074.66
  4. Step 4: Simplify right side
    367,407.56x = 103,466,903,110.22
  5. Step 5: Solve for x
    x = 103,466,903,110.22/367,407.56
  6. Step 6: Final answer
    x = 281,613.43

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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.