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Finding the Fourth Proportional to 312,430.60, 431,148.90 and 169,189.48

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Solution

The fourth proportional to 312,430.60, 431,148.90 and 169,189.48 is: 233,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,430.60 : 431,148.90 = 169,189.48 : x
  2. Step 2: Convert to fraction form
    312,430.60/431,148.90 = 169,189.48/x
  3. Step 3: Cross multiply
    312,430.60x = 431,148.90 × 169,189.48
  4. Step 4: Simplify right side
    312,430.60x = 72,945,858,193.57
  5. Step 5: Solve for x
    x = 72,945,858,193.57/312,430.60
  6. Step 6: Final answer
    x = 233,478.60

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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.