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Finding the Fourth Proportional to 370,236.06, 510,926.13 and 200,469.78

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Solution

The fourth proportional to 370,236.06, 510,926.13 and 200,469.78 is: 276,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,236.06 : 510,926.13 = 200,469.78 : x
  2. Step 2: Convert to fraction form
    370,236.06/510,926.13 = 200,469.78/x
  3. Step 3: Cross multiply
    370,236.06x = 510,926.13 × 200,469.78
  4. Step 4: Simplify right side
    370,236.06x = 102,425,248,877.35
  5. Step 5: Solve for x
    x = 102,425,248,877.35/370,236.06
  6. Step 6: Final answer
    x = 276,648.50

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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.