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Finding the Fourth Proportional to 358,916.64, 495,321.12 and 215,743.20

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Solution

The fourth proportional to 358,916.64, 495,321.12 and 215,743.20 is: 297,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,916.64 : 495,321.12 = 215,743.20 : x
  2. Step 2: Convert to fraction form
    358,916.64/495,321.12 = 215,743.20/x
  3. Step 3: Cross multiply
    358,916.64x = 495,321.12 × 215,743.20
  4. Step 4: Simplify right side
    358,916.64x = 106,862,163,456.38
  5. Step 5: Solve for x
    x = 106,862,163,456.38/358,916.64
  6. Step 6: Final answer
    x = 297,735.33

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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.