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Finding the Fourth Proportional to 517,663.28, 776,499.24 and 143,715.44

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Solution

The fourth proportional to 517,663.28, 776,499.24 and 143,715.44 is: 215,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,663.28 : 776,499.24 = 143,715.44 : x
  2. Step 2: Convert to fraction form
    517,663.28/776,499.24 = 143,715.44/x
  3. Step 3: Cross multiply
    517,663.28x = 776,499.24 × 143,715.44
  4. Step 4: Simplify right side
    517,663.28x = 111,594,929,936.27
  5. Step 5: Solve for x
    x = 111,594,929,936.27/517,663.28
  6. Step 6: Final answer
    x = 215,574.36

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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.