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Finding the Fourth Proportional to 542,811.60, 814,217.40 and 262,875.60

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Solution

The fourth proportional to 542,811.60, 814,217.40 and 262,875.60 is: 394,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,811.60 : 814,217.40 = 262,875.60 : x
  2. Step 2: Convert to fraction form
    542,811.60/814,217.40 = 262,875.60/x
  3. Step 3: Cross multiply
    542,811.60x = 814,217.40 × 262,875.60
  4. Step 4: Simplify right side
    542,811.60x = 214,037,887,555.44
  5. Step 5: Solve for x
    x = 214,037,887,555.44/542,811.60
  6. Step 6: Final answer
    x = 394,313.40

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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.