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Finding the Fourth Proportional to 299,411.27, 413,257.02 and 197,455.13

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Solution

The fourth proportional to 299,411.27, 413,257.02 and 197,455.13 is: 272,533.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,411.27 : 413,257.02 = 197,455.13 : x
  2. Step 2: Convert to fraction form
    299,411.27/413,257.02 = 197,455.13/x
  3. Step 3: Cross multiply
    299,411.27x = 413,257.02 × 197,455.13
  4. Step 4: Simplify right side
    299,411.27x = 81,599,718,607.51
  5. Step 5: Solve for x
    x = 81,599,718,607.51/299,411.27
  6. Step 6: Final answer
    x = 272,533.89

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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.