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Finding the Fourth Proportional to 343,320.20, 514,980.30 and 231,345.80

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Solution

The fourth proportional to 343,320.20, 514,980.30 and 231,345.80 is: 347,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,320.20 : 514,980.30 = 231,345.80 : x
  2. Step 2: Convert to fraction form
    343,320.20/514,980.30 = 231,345.80/x
  3. Step 3: Cross multiply
    343,320.20x = 514,980.30 × 231,345.80
  4. Step 4: Simplify right side
    343,320.20x = 119,138,529,487.74
  5. Step 5: Solve for x
    x = 119,138,529,487.74/343,320.20
  6. Step 6: Final answer
    x = 347,018.70

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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.