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Finding the Fourth Proportional to 520,074.40, 780,111.60 and 342,781.60

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Solution

The fourth proportional to 520,074.40, 780,111.60 and 342,781.60 is: 514,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,074.40 : 780,111.60 = 342,781.60 : x
  2. Step 2: Convert to fraction form
    520,074.40/780,111.60 = 342,781.60/x
  3. Step 3: Cross multiply
    520,074.40x = 780,111.60 × 342,781.60
  4. Step 4: Simplify right side
    520,074.40x = 267,407,902,426.56
  5. Step 5: Solve for x
    x = 267,407,902,426.56/520,074.40
  6. Step 6: Final answer
    x = 514,172.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.