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Finding the Fourth Proportional to 343,270.20, 514,905.30 and 231,295.80

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Solution

The fourth proportional to 343,270.20, 514,905.30 and 231,295.80 is: 346,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,270.20 : 514,905.30 = 231,295.80 : x
  2. Step 2: Convert to fraction form
    343,270.20/514,905.30 = 231,295.80/x
  3. Step 3: Cross multiply
    343,270.20x = 514,905.30 × 231,295.80
  4. Step 4: Simplify right side
    343,270.20x = 119,095,433,287.74
  5. Step 5: Solve for x
    x = 119,095,433,287.74/343,270.20
  6. Step 6: Final answer
    x = 346,943.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.