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Finding the Fourth Proportional to 335,294.88, 462,721.68 and 184,397.28

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Solution

The fourth proportional to 335,294.88, 462,721.68 and 184,397.28 is: 254,476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,294.88 : 462,721.68 = 184,397.28 : x
  2. Step 2: Convert to fraction form
    335,294.88/462,721.68 = 184,397.28/x
  3. Step 3: Cross multiply
    335,294.88x = 462,721.68 × 184,397.28
  4. Step 4: Simplify right side
    335,294.88x = 85,324,619,189.03
  5. Step 5: Solve for x
    x = 85,324,619,189.03/335,294.88
  6. Step 6: Final answer
    x = 254,476.36

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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.