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Finding the Fourth Proportional to 470,006.40, 704,867.04 and 133,020.48

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Solution

The fourth proportional to 470,006.40, 704,867.04 and 133,020.48 is: 199,490.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,006.40 : 704,867.04 = 133,020.48 : x
  2. Step 2: Convert to fraction form
    470,006.40/704,867.04 = 133,020.48/x
  3. Step 3: Cross multiply
    470,006.40x = 704,867.04 × 133,020.48
  4. Step 4: Simplify right side
    470,006.40x = 93,761,751,996.98
  5. Step 5: Solve for x
    x = 93,761,751,996.98/470,006.40
  6. Step 6: Final answer
    x = 199,490.37

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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.