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Finding the Fourth Proportional to 285,666.40, 428,499.60 and 75,325.60

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Solution

The fourth proportional to 285,666.40, 428,499.60 and 75,325.60 is: 112,988.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,666.40 : 428,499.60 = 75,325.60 : x
  2. Step 2: Convert to fraction form
    285,666.40/428,499.60 = 75,325.60/x
  3. Step 3: Cross multiply
    285,666.40x = 428,499.60 × 75,325.60
  4. Step 4: Simplify right side
    285,666.40x = 32,276,989,469.76
  5. Step 5: Solve for x
    x = 32,276,989,469.76/285,666.40
  6. Step 6: Final answer
    x = 112,988.40

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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.