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Finding the Fourth Proportional to 365,728.50, 504,806.80 and 212,796.24

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Solution

The fourth proportional to 365,728.50, 504,806.80 and 212,796.24 is: 293,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,728.50 : 504,806.80 = 212,796.24 : x
  2. Step 2: Convert to fraction form
    365,728.50/504,806.80 = 212,796.24/x
  3. Step 3: Cross multiply
    365,728.50x = 504,806.80 × 212,796.24
  4. Step 4: Simplify right side
    365,728.50x = 107,420,988,966.43
  5. Step 5: Solve for x
    x = 107,420,988,966.43/365,728.50
  6. Step 6: Final answer
    x = 293,717.85

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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.