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Finding the Fourth Proportional to 340,662.96, 470,114.91 and 197,506.08

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Solution

The fourth proportional to 340,662.96, 470,114.91 and 197,506.08 is: 272,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,662.96 : 470,114.91 = 197,506.08 : x
  2. Step 2: Convert to fraction form
    340,662.96/470,114.91 = 197,506.08/x
  3. Step 3: Cross multiply
    340,662.96x = 470,114.91 × 197,506.08
  4. Step 4: Simplify right side
    340,662.96x = 92,850,553,023.65
  5. Step 5: Solve for x
    x = 92,850,553,023.65/340,662.96
  6. Step 6: Final answer
    x = 272,558.41

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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.