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Finding the Fourth Proportional to 491,197.88, 677,935.92 and 284,436.20

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Solution

The fourth proportional to 491,197.88, 677,935.92 and 284,436.20 is: 392,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,197.88 : 677,935.92 = 284,436.20 : x
  2. Step 2: Convert to fraction form
    491,197.88/677,935.92 = 284,436.20/x
  3. Step 3: Cross multiply
    491,197.88x = 677,935.92 × 284,436.20
  4. Step 4: Simplify right side
    491,197.88x = 192,829,516,928.30
  5. Step 5: Solve for x
    x = 192,829,516,928.30/491,197.88
  6. Step 6: Final answer
    x = 392,569.93

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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.