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Finding the Fourth Proportional to 285,417.20, 428,125.80 and 85,768.40

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Solution

The fourth proportional to 285,417.20, 428,125.80 and 85,768.40 is: 128,652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,417.20 : 428,125.80 = 85,768.40 : x
  2. Step 2: Convert to fraction form
    285,417.20/428,125.80 = 85,768.40/x
  3. Step 3: Cross multiply
    285,417.20x = 428,125.80 × 85,768.40
  4. Step 4: Simplify right side
    285,417.20x = 36,719,664,864.72
  5. Step 5: Solve for x
    x = 36,719,664,864.72/285,417.20
  6. Step 6: Final answer
    x = 128,652.60

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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.