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Finding the Fourth Proportional to 421,374.96, 581,497.38 and 230,388.30

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Solution

The fourth proportional to 421,374.96, 581,497.38 and 230,388.30 is: 317,935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,374.96 : 581,497.38 = 230,388.30 : x
  2. Step 2: Convert to fraction form
    421,374.96/581,497.38 = 230,388.30/x
  3. Step 3: Cross multiply
    421,374.96x = 581,497.38 × 230,388.30
  4. Step 4: Simplify right side
    421,374.96x = 133,970,192,832.65
  5. Step 5: Solve for x
    x = 133,970,192,832.65/421,374.96
  6. Step 6: Final answer
    x = 317,935.82

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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.