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Finding the Fourth Proportional to 507,584.34, 700,466.38 and 281,229.84

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Solution

The fourth proportional to 507,584.34, 700,466.38 and 281,229.84 is: 388,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,584.34 : 700,466.38 = 281,229.84 : x
  2. Step 2: Convert to fraction form
    507,584.34/700,466.38 = 281,229.84/x
  3. Step 3: Cross multiply
    507,584.34x = 700,466.38 × 281,229.84
  4. Step 4: Simplify right side
    507,584.34x = 196,992,047,972.78
  5. Step 5: Solve for x
    x = 196,992,047,972.78/507,584.34
  6. Step 6: Final answer
    x = 388,097.17

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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.