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Finding the Fourth Proportional to 461,152.65, 691,507.31 and 261,419.41

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Solution

The fourth proportional to 461,152.65, 691,507.31 and 261,419.41 is: 392,003.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,152.65 : 691,507.31 = 261,419.41 : x
  2. Step 2: Convert to fraction form
    461,152.65/691,507.31 = 261,419.41/x
  3. Step 3: Cross multiply
    461,152.65x = 691,507.31 × 261,419.41
  4. Step 4: Simplify right side
    461,152.65x = 180,773,433,644.44
  5. Step 5: Solve for x
    x = 180,773,433,644.44/461,152.65
  6. Step 6: Final answer
    x = 392,003.46

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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.