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Finding the Fourth Proportional to 294,251.46, 406,476.93 and 283,327.38

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Solution

The fourth proportional to 294,251.46, 406,476.93 and 283,327.38 is: 391,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,251.46 : 406,476.93 = 283,327.38 : x
  2. Step 2: Convert to fraction form
    294,251.46/406,476.93 = 283,327.38/x
  3. Step 3: Cross multiply
    294,251.46x = 406,476.93 × 283,327.38
  4. Step 4: Simplify right side
    294,251.46x = 115,166,043,607.34
  5. Step 5: Solve for x
    x = 115,166,043,607.34/294,251.46
  6. Step 6: Final answer
    x = 391,386.48

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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.