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Finding the Fourth Proportional to 384,094.71, 576,257.36 and 181,845

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Solution

The fourth proportional to 384,094.71, 576,257.36 and 181,845 is: 272,822.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,094.71 : 576,257.36 = 181,845 : x
  2. Step 2: Convert to fraction form
    384,094.71/576,257.36 = 181,845/x
  3. Step 3: Cross multiply
    384,094.71x = 576,257.36 × 181,845
  4. Step 4: Simplify right side
    384,094.71x = 104,789,518,719.98
  5. Step 5: Solve for x
    x = 104,789,518,719.98/384,094.71
  6. Step 6: Final answer
    x = 272,822.08

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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.