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Finding the Fourth Proportional to 340,490.25, 510,734 and 103,832.25

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Solution

The fourth proportional to 340,490.25, 510,734 and 103,832.25 is: 155,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,490.25 : 510,734 = 103,832.25 : x
  2. Step 2: Convert to fraction form
    340,490.25/510,734 = 103,832.25/x
  3. Step 3: Cross multiply
    340,490.25x = 510,734 × 103,832.25
  4. Step 4: Simplify right side
    340,490.25x = 53,030,660,371.50
  5. Step 5: Solve for x
    x = 53,030,660,371.50/340,490.25
  6. Step 6: Final answer
    x = 155,747.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.