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Finding the Fourth Proportional to 370,232.50, 510,921.21 and 200,466.22

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Solution

The fourth proportional to 370,232.50, 510,921.21 and 200,466.22 is: 276,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,232.50 : 510,921.21 = 200,466.22 : x
  2. Step 2: Convert to fraction form
    370,232.50/510,921.21 = 200,466.22/x
  3. Step 3: Cross multiply
    370,232.50x = 510,921.21 × 200,466.22
  4. Step 4: Simplify right side
    370,232.50x = 102,422,443,160.97
  5. Step 5: Solve for x
    x = 102,422,443,160.97/370,232.50
  6. Step 6: Final answer
    x = 276,643.58

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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.