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Finding the Fourth Proportional to 507,352.38, 700,107.75 and 280,993.02

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Solution

The fourth proportional to 507,352.38, 700,107.75 and 280,993.02 is: 387,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,352.38 : 700,107.75 = 280,993.02 : x
  2. Step 2: Convert to fraction form
    507,352.38/700,107.75 = 280,993.02/x
  3. Step 3: Cross multiply
    507,352.38x = 700,107.75 × 280,993.02
  4. Step 4: Simplify right side
    507,352.38x = 196,725,390,997.91
  5. Step 5: Solve for x
    x = 196,725,390,997.91/507,352.38
  6. Step 6: Final answer
    x = 387,749.03

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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.