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Finding the Fourth Proportional to 299,499.28, 413,317.53 and 163,541.86

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Solution

The fourth proportional to 299,499.28, 413,317.53 and 163,541.86 is: 225,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,499.28 : 413,317.53 = 163,541.86 : x
  2. Step 2: Convert to fraction form
    299,499.28/413,317.53 = 163,541.86/x
  3. Step 3: Cross multiply
    299,499.28x = 413,317.53 × 163,541.86
  4. Step 4: Simplify right side
    299,499.28x = 67,594,716,593.51
  5. Step 5: Solve for x
    x = 67,594,716,593.51/299,499.28
  6. Step 6: Final answer
    x = 225,692.42

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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.