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Finding the Fourth Proportional to 506,057.04, 698,361.48 and 276,614.64

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Solution

The fourth proportional to 506,057.04, 698,361.48 and 276,614.64 is: 381,729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,057.04 : 698,361.48 = 276,614.64 : x
  2. Step 2: Convert to fraction form
    506,057.04/698,361.48 = 276,614.64/x
  3. Step 3: Cross multiply
    506,057.04x = 698,361.48 × 276,614.64
  4. Step 4: Simplify right side
    506,057.04x = 193,177,009,380.07
  5. Step 5: Solve for x
    x = 193,177,009,380.07/506,057.04
  6. Step 6: Final answer
    x = 381,729.71

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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.