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Finding the Fourth Proportional to 367,342.80, 506,984.24 and 204,036

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Solution

The fourth proportional to 367,342.80, 506,984.24 and 204,036 is: 281,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,342.80 : 506,984.24 = 204,036 : x
  2. Step 2: Convert to fraction form
    367,342.80/506,984.24 = 204,036/x
  3. Step 3: Cross multiply
    367,342.80x = 506,984.24 × 204,036
  4. Step 4: Simplify right side
    367,342.80x = 103,443,036,392.64
  5. Step 5: Solve for x
    x = 103,443,036,392.64/367,342.80
  6. Step 6: Final answer
    x = 281,598.11

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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.