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Finding the Fourth Proportional to 340,589.32, 470,010.66 and 197,346.28

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Solution

The fourth proportional to 340,589.32, 470,010.66 and 197,346.28 is: 272,336.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,589.32 : 470,010.66 = 197,346.28 : x
  2. Step 2: Convert to fraction form
    340,589.32/470,010.66 = 197,346.28/x
  3. Step 3: Cross multiply
    340,589.32x = 470,010.66 × 197,346.28
  4. Step 4: Simplify right side
    340,589.32x = 92,754,855,311.34
  5. Step 5: Solve for x
    x = 92,754,855,311.34/340,589.32
  6. Step 6: Final answer
    x = 272,336.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.