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Finding the Fourth Proportional to 301,264.46, 415,752.61 and 165,298.37

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Solution

The fourth proportional to 301,264.46, 415,752.61 and 165,298.37 is: 228,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,264.46 : 415,752.61 = 165,298.37 : x
  2. Step 2: Convert to fraction form
    301,264.46/415,752.61 = 165,298.37/x
  3. Step 3: Cross multiply
    301,264.46x = 415,752.61 × 165,298.37
  4. Step 4: Simplify right side
    301,264.46x = 68,723,228,292.91
  5. Step 5: Solve for x
    x = 68,723,228,292.91/301,264.46
  6. Step 6: Final answer
    x = 228,115.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.