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Finding the Fourth Proportional to 340,699.83, 470,165.78 and 197,542.91

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Solution

The fourth proportional to 340,699.83, 470,165.78 and 197,542.91 is: 272,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,699.83 : 470,165.78 = 197,542.91 : x
  2. Step 2: Convert to fraction form
    340,699.83/470,165.78 = 197,542.91/x
  3. Step 3: Cross multiply
    340,699.83x = 470,165.78 × 197,542.91
  4. Step 4: Simplify right side
    340,699.83x = 92,877,916,551.32
  5. Step 5: Solve for x
    x = 92,877,916,551.32/340,699.83
  6. Step 6: Final answer
    x = 272,609.22

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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.