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Finding the Fourth Proportional to 367,927.18, 507,781.44 and 204,599.86

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Solution

The fourth proportional to 367,927.18, 507,781.44 and 204,599.86 is: 282,371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,927.18 : 507,781.44 = 204,599.86 : x
  2. Step 2: Convert to fraction form
    367,927.18/507,781.44 = 204,599.86/x
  3. Step 3: Cross multiply
    367,927.18x = 507,781.44 × 204,599.86
  4. Step 4: Simplify right side
    367,927.18x = 103,892,011,534.60
  5. Step 5: Solve for x
    x = 103,892,011,534.60/367,927.18
  6. Step 6: Final answer
    x = 282,371.12

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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.