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Finding the Fourth Proportional to 301,298.96, 415,797 and 165,346.40

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Solution

The fourth proportional to 301,298.96, 415,797 and 165,346.40 is: 228,180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,298.96 : 415,797 = 165,346.40 : x
  2. Step 2: Convert to fraction form
    301,298.96/415,797 = 165,346.40/x
  3. Step 3: Cross multiply
    301,298.96x = 415,797 × 165,346.40
  4. Step 4: Simplify right side
    301,298.96x = 68,750,537,080.80
  5. Step 5: Solve for x
    x = 68,750,537,080.80/301,298.96
  6. Step 6: Final answer
    x = 228,180.47

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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.