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Finding the Fourth Proportional to 367,445.84, 507,081.48 and 204,098

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Solution

The fourth proportional to 367,445.84, 507,081.48 and 204,098 is: 281,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,445.84 : 507,081.48 = 204,098 : x
  2. Step 2: Convert to fraction form
    367,445.84/507,081.48 = 204,098/x
  3. Step 3: Cross multiply
    367,445.84x = 507,081.48 × 204,098
  4. Step 4: Simplify right side
    367,445.84x = 103,494,315,905.04
  5. Step 5: Solve for x
    x = 103,494,315,905.04/367,445.84
  6. Step 6: Final answer
    x = 281,658.70

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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.