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Finding the Fourth Proportional to 461,296.44, 692,044.86 and 141,449.46

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Solution

The fourth proportional to 461,296.44, 692,044.86 and 141,449.46 is: 212,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,296.44 : 692,044.86 = 141,449.46 : x
  2. Step 2: Convert to fraction form
    461,296.44/692,044.86 = 141,449.46/x
  3. Step 3: Cross multiply
    461,296.44x = 692,044.86 × 141,449.46
  4. Step 4: Simplify right side
    461,296.44x = 97,889,371,742.78
  5. Step 5: Solve for x
    x = 97,889,371,742.78/461,296.44
  6. Step 6: Final answer
    x = 212,204.91

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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.