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Finding the Fourth Proportional to 427,857.47, 590,443.44 and 234,277.44

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Solution

The fourth proportional to 427,857.47, 590,443.44 and 234,277.44 is: 323,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,857.47 : 590,443.44 = 234,277.44 : x
  2. Step 2: Convert to fraction form
    427,857.47/590,443.44 = 234,277.44/x
  3. Step 3: Cross multiply
    427,857.47x = 590,443.44 × 234,277.44
  4. Step 4: Simplify right side
    427,857.47x = 138,327,581,453.87
  5. Step 5: Solve for x
    x = 138,327,581,453.87/427,857.47
  6. Step 6: Final answer
    x = 323,302.95

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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.