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Finding the Fourth Proportional to 283,417.28, 424,834.32 and 125,720

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Solution

The fourth proportional to 283,417.28, 424,834.32 and 125,720 is: 188,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,417.28 : 424,834.32 = 125,720 : x
  2. Step 2: Convert to fraction form
    283,417.28/424,834.32 = 125,720/x
  3. Step 3: Cross multiply
    283,417.28x = 424,834.32 × 125,720
  4. Step 4: Simplify right side
    283,417.28x = 53,410,170,710.40
  5. Step 5: Solve for x
    x = 53,410,170,710.40/283,417.28
  6. Step 6: Final answer
    x = 188,450.65

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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.