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Finding the Fourth Proportional to 340,740.91, 470,211.42 and 195,570.58

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Solution

The fourth proportional to 340,740.91, 470,211.42 and 195,570.58 is: 269,881.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,740.91 : 470,211.42 = 195,570.58 : x
  2. Step 2: Convert to fraction form
    340,740.91/470,211.42 = 195,570.58/x
  3. Step 3: Cross multiply
    340,740.91x = 470,211.42 × 195,570.58
  4. Step 4: Simplify right side
    340,740.91x = 91,959,520,132.02
  5. Step 5: Solve for x
    x = 91,959,520,132.02/340,740.91
  6. Step 6: Final answer
    x = 269,881.07

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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.