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Finding the Fourth Proportional to 299,301.52, 413,038.52 and 163,336.56

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Solution

The fourth proportional to 299,301.52, 413,038.52 and 163,336.56 is: 225,405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,301.52 : 413,038.52 = 163,336.56 : x
  2. Step 2: Convert to fraction form
    299,301.52/413,038.52 = 163,336.56/x
  3. Step 3: Cross multiply
    299,301.52x = 413,038.52 × 163,336.56
  4. Step 4: Simplify right side
    299,301.52x = 67,464,291,004.29
  5. Step 5: Solve for x
    x = 67,464,291,004.29/299,301.52
  6. Step 6: Final answer
    x = 225,405.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.