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Finding the Fourth Proportional to 333,010.65, 459,764.83 and 231,000.43

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Solution

The fourth proportional to 333,010.65, 459,764.83 and 231,000.43 is: 318,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,010.65 : 459,764.83 = 231,000.43 : x
  2. Step 2: Convert to fraction form
    333,010.65/459,764.83 = 231,000.43/x
  3. Step 3: Cross multiply
    333,010.65x = 459,764.83 × 231,000.43
  4. Step 4: Simplify right side
    333,010.65x = 106,205,872,568.22
  5. Step 5: Solve for x
    x = 106,205,872,568.22/333,010.65
  6. Step 6: Final answer
    x = 318,926.35

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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.