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Finding the Fourth Proportional to 299,473.96, 413,274.81 and 163,509.08

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Solution

The fourth proportional to 299,473.96, 413,274.81 and 163,509.08 is: 225,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,473.96 : 413,274.81 = 163,509.08 : x
  2. Step 2: Convert to fraction form
    299,473.96/413,274.81 = 163,509.08/x
  3. Step 3: Cross multiply
    299,473.96x = 413,274.81 × 163,509.08
  4. Step 4: Simplify right side
    299,473.96x = 67,574,183,921.99
  5. Step 5: Solve for x
    x = 67,574,183,921.99/299,473.96
  6. Step 6: Final answer
    x = 225,642.94

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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.