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Finding the Fourth Proportional to 508,506.28, 701,736.42 and 282,151.24

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Solution

The fourth proportional to 508,506.28, 701,736.42 and 282,151.24 is: 389,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,506.28 : 701,736.42 = 282,151.24 : x
  2. Step 2: Convert to fraction form
    508,506.28/701,736.42 = 282,151.24/x
  3. Step 3: Cross multiply
    508,506.28x = 701,736.42 × 282,151.24
  4. Step 4: Simplify right side
    508,506.28x = 197,995,801,056.16
  5. Step 5: Solve for x
    x = 197,995,801,056.16/508,506.28
  6. Step 6: Final answer
    x = 389,367.46

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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.