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Finding the Fourth Proportional to 360,616.73, 497,494.71 and 217,295.33

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Solution

The fourth proportional to 360,616.73, 497,494.71 and 217,295.33 is: 299,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,616.73 : 497,494.71 = 217,295.33 : x
  2. Step 2: Convert to fraction form
    360,616.73/497,494.71 = 217,295.33/x
  3. Step 3: Cross multiply
    360,616.73x = 497,494.71 × 217,295.33
  4. Step 4: Simplify right side
    360,616.73x = 108,103,274,695.23
  5. Step 5: Solve for x
    x = 108,103,274,695.23/360,616.73
  6. Step 6: Final answer
    x = 299,773.32

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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.