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Finding the Fourth Proportional to 301,264.56, 415,752.75 and 165,298.47

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Solution

The fourth proportional to 301,264.56, 415,752.75 and 165,298.47 is: 228,116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,264.56 : 415,752.75 = 165,298.47 : x
  2. Step 2: Convert to fraction form
    301,264.56/415,752.75 = 165,298.47/x
  3. Step 3: Cross multiply
    301,264.56x = 415,752.75 × 165,298.47
  4. Step 4: Simplify right side
    301,264.56x = 68,723,293,632.96
  5. Step 5: Solve for x
    x = 68,723,293,632.96/301,264.56
  6. Step 6: Final answer
    x = 228,116.09

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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.