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Finding the Fourth Proportional to 278,445.96, 384,256.98 and 157,587.48

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Solution

The fourth proportional to 278,445.96, 384,256.98 and 157,587.48 is: 217,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,445.96 : 384,256.98 = 157,587.48 : x
  2. Step 2: Convert to fraction form
    278,445.96/384,256.98 = 157,587.48/x
  3. Step 3: Cross multiply
    278,445.96x = 384,256.98 × 157,587.48
  4. Step 4: Simplify right side
    278,445.96x = 60,554,089,150.61
  5. Step 5: Solve for x
    x = 60,554,089,150.61/278,445.96
  6. Step 6: Final answer
    x = 217,471.60

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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.