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Finding the Fourth Proportional to 315,491.20, 472,315.20 and 282,313.60

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Solution

The fourth proportional to 315,491.20, 472,315.20 and 282,313.60 is: 422,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,491.20 : 472,315.20 = 282,313.60 : x
  2. Step 2: Convert to fraction form
    315,491.20/472,315.20 = 282,313.60/x
  3. Step 3: Cross multiply
    315,491.20x = 472,315.20 × 282,313.60
  4. Step 4: Simplify right side
    315,491.20x = 133,341,004,446.72
  5. Step 5: Solve for x
    x = 133,341,004,446.72/315,491.20
  6. Step 6: Final answer
    x = 422,645.72

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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.