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Finding the Fourth Proportional to 257,414.40, 386,121.60 and 173,433.60

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Solution

The fourth proportional to 257,414.40, 386,121.60 and 173,433.60 is: 260,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,414.40 : 386,121.60 = 173,433.60 : x
  2. Step 2: Convert to fraction form
    257,414.40/386,121.60 = 173,433.60/x
  3. Step 3: Cross multiply
    257,414.40x = 386,121.60 × 173,433.60
  4. Step 4: Simplify right side
    257,414.40x = 66,966,459,125.76
  5. Step 5: Solve for x
    x = 66,966,459,125.76/257,414.40
  6. Step 6: Final answer
    x = 260,150.40

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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.