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Finding the Fourth Proportional to 392,459.60, 588,689.40 and 205,528.40

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Solution

The fourth proportional to 392,459.60, 588,689.40 and 205,528.40 is: 308,292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,459.60 : 588,689.40 = 205,528.40 : x
  2. Step 2: Convert to fraction form
    392,459.60/588,689.40 = 205,528.40/x
  3. Step 3: Cross multiply
    392,459.60x = 588,689.40 × 205,528.40
  4. Step 4: Simplify right side
    392,459.60x = 120,992,390,478.96
  5. Step 5: Solve for x
    x = 120,992,390,478.96/392,459.60
  6. Step 6: Final answer
    x = 308,292.60

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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.