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Finding the Fourth Proportional to 296,006.72, 408,216.63 and 193,995.02

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Solution

The fourth proportional to 296,006.72, 408,216.63 and 193,995.02 is: 267,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,006.72 : 408,216.63 = 193,995.02 : x
  2. Step 2: Convert to fraction form
    296,006.72/408,216.63 = 193,995.02/x
  3. Step 3: Cross multiply
    296,006.72x = 408,216.63 × 193,995.02
  4. Step 4: Simplify right side
    296,006.72x = 79,191,993,301.18
  5. Step 5: Solve for x
    x = 79,191,993,301.18/296,006.72
  6. Step 6: Final answer
    x = 267,534.44

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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.