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Finding the Fourth Proportional to 447,764.29, 616,863.50 and 311,564.31

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Solution

The fourth proportional to 447,764.29, 616,863.50 and 311,564.31 is: 429,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,764.29 : 616,863.50 = 311,564.31 : x
  2. Step 2: Convert to fraction form
    447,764.29/616,863.50 = 311,564.31/x
  3. Step 3: Cross multiply
    447,764.29x = 616,863.50 × 311,564.31
  4. Step 4: Simplify right side
    447,764.29x = 192,192,648,038.99
  5. Step 5: Solve for x
    x = 192,192,648,038.99/447,764.29
  6. Step 6: Final answer
    x = 429,227.28

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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.