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Finding the Fourth Proportional to 408,893.40, 564,289.20 and 247,657.50

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Solution

The fourth proportional to 408,893.40, 564,289.20 and 247,657.50 is: 341,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,893.40 : 564,289.20 = 247,657.50 : x
  2. Step 2: Convert to fraction form
    408,893.40/564,289.20 = 247,657.50/x
  3. Step 3: Cross multiply
    408,893.40x = 564,289.20 × 247,657.50
  4. Step 4: Simplify right side
    408,893.40x = 139,750,452,549
  5. Step 5: Solve for x
    x = 139,750,452,549/408,893.40
  6. Step 6: Final answer
    x = 341,777.23

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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.