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Finding the Fourth Proportional to 340,469.50, 469,851.18 and 189,569.74

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Solution

The fourth proportional to 340,469.50, 469,851.18 and 189,569.74 is: 261,608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,469.50 : 469,851.18 = 189,569.74 : x
  2. Step 2: Convert to fraction form
    340,469.50/469,851.18 = 189,569.74/x
  3. Step 3: Cross multiply
    340,469.50x = 469,851.18 × 189,569.74
  4. Step 4: Simplify right side
    340,469.50x = 89,069,566,031.29
  5. Step 5: Solve for x
    x = 89,069,566,031.29/340,469.50
  6. Step 6: Final answer
    x = 261,608.06

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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.