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Finding the Fourth Proportional to 343,924.20, 515,108.70 and 203,956.20

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Solution

The fourth proportional to 343,924.20, 515,108.70 and 203,956.20 is: 305,473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,924.20 : 515,108.70 = 203,956.20 : x
  2. Step 2: Convert to fraction form
    343,924.20/515,108.70 = 203,956.20/x
  3. Step 3: Cross multiply
    343,924.20x = 515,108.70 × 203,956.20
  4. Step 4: Simplify right side
    343,924.20x = 105,059,613,038.94
  5. Step 5: Solve for x
    x = 105,059,613,038.94/343,924.20
  6. Step 6: Final answer
    x = 305,473.16

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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.