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Finding the Fourth Proportional to 297,535.24, 410,601.54 and 163,399.24

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Solution

The fourth proportional to 297,535.24, 410,601.54 and 163,399.24 is: 225,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,535.24 : 410,601.54 = 163,399.24 : x
  2. Step 2: Convert to fraction form
    297,535.24/410,601.54 = 163,399.24/x
  3. Step 3: Cross multiply
    297,535.24x = 410,601.54 × 163,399.24
  4. Step 4: Simplify right side
    297,535.24x = 67,091,979,578.83
  5. Step 5: Solve for x
    x = 67,091,979,578.83/297,535.24
  6. Step 6: Final answer
    x = 225,492.55

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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.