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Finding the Fourth Proportional to 319,446.30, 440,977.59 and 206,324.22

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Solution

The fourth proportional to 319,446.30, 440,977.59 and 206,324.22 is: 284,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,446.30 : 440,977.59 = 206,324.22 : x
  2. Step 2: Convert to fraction form
    319,446.30/440,977.59 = 206,324.22/x
  3. Step 3: Cross multiply
    319,446.30x = 440,977.59 × 206,324.22
  4. Step 4: Simplify right side
    319,446.30x = 90,984,357,294.23
  5. Step 5: Solve for x
    x = 90,984,357,294.23/319,446.30
  6. Step 6: Final answer
    x = 284,818.94

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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.