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Finding the Fourth Proportional to 461,044, 691,838.24 and 194,787.36

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Solution

The fourth proportional to 461,044, 691,838.24 and 194,787.36 is: 292,296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,044 : 691,838.24 = 194,787.36 : x
  2. Step 2: Convert to fraction form
    461,044/691,838.24 = 194,787.36/x
  3. Step 3: Cross multiply
    461,044x = 691,838.24 × 194,787.36
  4. Step 4: Simplify right side
    461,044x = 134,761,344,316.65
  5. Step 5: Solve for x
    x = 134,761,344,316.65/461,044
  6. Step 6: Final answer
    x = 292,296.06

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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.