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Finding the Fourth Proportional to 468,399.14, 646,403.38 and 284,575.14

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Solution

The fourth proportional to 468,399.14, 646,403.38 and 284,575.14 is: 392,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,399.14 : 646,403.38 = 284,575.14 : x
  2. Step 2: Convert to fraction form
    468,399.14/646,403.38 = 284,575.14/x
  3. Step 3: Cross multiply
    468,399.14x = 646,403.38 × 284,575.14
  4. Step 4: Simplify right side
    468,399.14x = 183,950,332,359.97
  5. Step 5: Solve for x
    x = 183,950,332,359.97/468,399.14
  6. Step 6: Final answer
    x = 392,721.33

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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.