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Finding the Fourth Proportional to 370,233.25, 510,922.25 and 200,466.97

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Solution

The fourth proportional to 370,233.25, 510,922.25 and 200,466.97 is: 276,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,233.25 : 510,922.25 = 200,466.97 : x
  2. Step 2: Convert to fraction form
    370,233.25/510,922.25 = 200,466.97/x
  3. Step 3: Cross multiply
    370,233.25x = 510,922.25 × 200,466.97
  4. Step 4: Simplify right side
    370,233.25x = 102,423,033,835.19
  5. Step 5: Solve for x
    x = 102,423,033,835.19/370,233.25
  6. Step 6: Final answer
    x = 276,644.61

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1.5x scale

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.