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Finding the Fourth Proportional to 677,691.26, 935,243.51 and 405,706.76

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Solution

The fourth proportional to 677,691.26, 935,243.51 and 405,706.76 is: 559,893.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,691.26 : 935,243.51 = 405,706.76 : x
  2. Step 2: Convert to fraction form
    677,691.26/935,243.51 = 405,706.76/x
  3. Step 3: Cross multiply
    677,691.26x = 935,243.51 × 405,706.76
  4. Step 4: Simplify right side
    677,691.26x = 379,434,607,548.38
  5. Step 5: Solve for x
    x = 379,434,607,548.38/677,691.26
  6. Step 6: Final answer
    x = 559,893.03

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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.