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Finding the Fourth Proportional to 358,971.36, 495,383.76 and 197,832.16

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Solution

The fourth proportional to 358,971.36, 495,383.76 and 197,832.16 is: 273,010.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,971.36 : 495,383.76 = 197,832.16 : x
  2. Step 2: Convert to fraction form
    358,971.36/495,383.76 = 197,832.16/x
  3. Step 3: Cross multiply
    358,971.36x = 495,383.76 × 197,832.16
  4. Step 4: Simplify right side
    358,971.36x = 98,002,839,269.72
  5. Step 5: Solve for x
    x = 98,002,839,269.72/358,971.36
  6. Step 6: Final answer
    x = 273,010.19

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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.