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Finding the Fourth Proportional to 475,266.44, 712,899.50 and 120,282.28

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Solution

The fourth proportional to 475,266.44, 712,899.50 and 120,282.28 is: 180,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,266.44 : 712,899.50 = 120,282.28 : x
  2. Step 2: Convert to fraction form
    475,266.44/712,899.50 = 120,282.28/x
  3. Step 3: Cross multiply
    475,266.44x = 712,899.50 × 120,282.28
  4. Step 4: Simplify right side
    475,266.44x = 85,749,177,270.86
  5. Step 5: Solve for x
    x = 85,749,177,270.86/475,266.44
  6. Step 6: Final answer
    x = 180,423.38

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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.