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Finding the Fourth Proportional to 284,814.90, 427,246.65 and 74,452.50

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Solution

The fourth proportional to 284,814.90, 427,246.65 and 74,452.50 is: 111,685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,814.90 : 427,246.65 = 74,452.50 : x
  2. Step 2: Convert to fraction form
    284,814.90/427,246.65 = 74,452.50/x
  3. Step 3: Cross multiply
    284,814.90x = 427,246.65 × 74,452.50
  4. Step 4: Simplify right side
    284,814.90x = 31,809,581,209.13
  5. Step 5: Solve for x
    x = 31,809,581,209.13/284,814.90
  6. Step 6: Final answer
    x = 111,685.10

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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.