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Finding the Fourth Proportional to 442,992.50, 612,129.31 and 315,446.66

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Solution

The fourth proportional to 442,992.50, 612,129.31 and 315,446.66 is: 435,885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,992.50 : 612,129.31 = 315,446.66 : x
  2. Step 2: Convert to fraction form
    442,992.50/612,129.31 = 315,446.66/x
  3. Step 3: Cross multiply
    442,992.50x = 612,129.31 × 315,446.66
  4. Step 4: Simplify right side
    442,992.50x = 193,094,142,478.34
  5. Step 5: Solve for x
    x = 193,094,142,478.34/442,992.50
  6. Step 6: Final answer
    x = 435,885.81

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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.