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Finding the Fourth Proportional to 724,198.16, 999,513.60 and 422,392.16

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Solution

The fourth proportional to 724,198.16, 999,513.60 and 422,392.16 is: 582,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,198.16 : 999,513.60 = 422,392.16 : x
  2. Step 2: Convert to fraction form
    724,198.16/999,513.60 = 422,392.16/x
  3. Step 3: Cross multiply
    724,198.16x = 999,513.60 × 422,392.16
  4. Step 4: Simplify right side
    724,198.16x = 422,186,708,453.38
  5. Step 5: Solve for x
    x = 422,186,708,453.38/724,198.16
  6. Step 6: Final answer
    x = 582,971.25

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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.