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Finding the Fourth Proportional to 263,254.60, 394,881.90 and 156,966.40

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Solution

The fourth proportional to 263,254.60, 394,881.90 and 156,966.40 is: 235,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,254.60 : 394,881.90 = 156,966.40 : x
  2. Step 2: Convert to fraction form
    263,254.60/394,881.90 = 156,966.40/x
  3. Step 3: Cross multiply
    263,254.60x = 394,881.90 × 156,966.40
  4. Step 4: Simplify right side
    263,254.60x = 61,983,190,268.16
  5. Step 5: Solve for x
    x = 61,983,190,268.16/263,254.60
  6. Step 6: Final answer
    x = 235,449.60

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Why These Related Problems?

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