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Finding the Fourth Proportional to 301,312.60, 415,810.23 and 165,348.82

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Solution

The fourth proportional to 301,312.60, 415,810.23 and 165,348.82 is: 228,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,312.60 : 415,810.23 = 165,348.82 : x
  2. Step 2: Convert to fraction form
    301,312.60/415,810.23 = 165,348.82/x
  3. Step 3: Cross multiply
    301,312.60x = 415,810.23 × 165,348.82
  4. Step 4: Simplify right side
    301,312.60x = 68,753,730,874.43
  5. Step 5: Solve for x
    x = 68,753,730,874.43/301,312.60
  6. Step 6: Final answer
    x = 228,180.74

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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.