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Finding the Fourth Proportional to 468,183.75, 646,024.25 and 284,326.70

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Solution

The fourth proportional to 468,183.75, 646,024.25 and 284,326.70 is: 392,328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,183.75 : 646,024.25 = 284,326.70 : x
  2. Step 2: Convert to fraction form
    468,183.75/646,024.25 = 284,326.70/x
  3. Step 3: Cross multiply
    468,183.75x = 646,024.25 × 284,326.70
  4. Step 4: Simplify right side
    468,183.75x = 183,681,938,470.72
  5. Step 5: Solve for x
    x = 183,681,938,470.72/468,183.75
  6. Step 6: Final answer
    x = 392,328.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.