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Finding the Fourth Proportional to 284,502.77, 426,476.79 and 113,673.56

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Solution

The fourth proportional to 284,502.77, 426,476.79 and 113,673.56 is: 170,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,502.77 : 426,476.79 = 113,673.56 : x
  2. Step 2: Convert to fraction form
    284,502.77/426,476.79 = 113,673.56/x
  3. Step 3: Cross multiply
    284,502.77x = 426,476.79 × 113,673.56
  4. Step 4: Simplify right side
    284,502.77x = 48,479,132,844.29
  5. Step 5: Solve for x
    x = 48,479,132,844.29/284,502.77
  6. Step 6: Final answer
    x = 170,399.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.