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Finding the Fourth Proportional to 1,471,096, 2,206,644 and 473,824

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Solution

The fourth proportional to 1,471,096, 2,206,644 and 473,824 is: 710,736

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,096 : 2,206,644 = 473,824 : x
  2. Step 2: Convert to fraction form
    1,471,096/2,206,644 = 473,824/x
  3. Step 3: Cross multiply
    1,471,096x = 2,206,644 × 473,824
  4. Step 4: Simplify right side
    1,471,096x = 1,045,560,886,656
  5. Step 5: Solve for x
    x = 1,045,560,886,656/1,471,096
  6. Step 6: Final answer
    x = 710,736

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.