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Finding the Fourth Proportional to 296,395.47, 444,594.27 and 71,755.47

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Solution

The fourth proportional to 296,395.47, 444,594.27 and 71,755.47 is: 107,633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,395.47 : 444,594.27 = 71,755.47 : x
  2. Step 2: Convert to fraction form
    296,395.47/444,594.27 = 71,755.47/x
  3. Step 3: Cross multiply
    296,395.47x = 444,594.27 × 71,755.47
  4. Step 4: Simplify right side
    296,395.47x = 31,902,070,803.16
  5. Step 5: Solve for x
    x = 31,902,070,803.16/296,395.47
  6. Step 6: Final answer
    x = 107,633.46

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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.