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Finding the Fourth Proportional to 301,303.20, 415,824.24 and 165,363.42

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Solution

The fourth proportional to 301,303.20, 415,824.24 and 165,363.42 is: 228,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,303.20 : 415,824.24 = 165,363.42 : x
  2. Step 2: Convert to fraction form
    301,303.20/415,824.24 = 165,363.42/x
  3. Step 3: Cross multiply
    301,303.20x = 415,824.24 × 165,363.42
  4. Step 4: Simplify right side
    301,303.20x = 68,762,118,344.97
  5. Step 5: Solve for x
    x = 68,762,118,344.97/301,303.20
  6. Step 6: Final answer
    x = 228,215.70

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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.