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Finding the Fourth Proportional to 301,008.78, 415,410.76 and 166,872.78

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Solution

The fourth proportional to 301,008.78, 415,410.76 and 166,872.78 is: 230,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,008.78 : 415,410.76 = 166,872.78 : x
  2. Step 2: Convert to fraction form
    301,008.78/415,410.76 = 166,872.78/x
  3. Step 3: Cross multiply
    301,008.78x = 415,410.76 × 166,872.78
  4. Step 4: Simplify right side
    301,008.78x = 69,320,748,363.11
  5. Step 5: Solve for x
    x = 69,320,748,363.11/301,008.78
  6. Step 6: Final answer
    x = 230,294.77

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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.