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Finding the Fourth Proportional to 295,729.22, 407,838.39 and 193,717.46

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Solution

The fourth proportional to 295,729.22, 407,838.39 and 193,717.46 is: 267,154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,729.22 : 407,838.39 = 193,717.46 : x
  2. Step 2: Convert to fraction form
    295,729.22/407,838.39 = 193,717.46/x
  3. Step 3: Cross multiply
    295,729.22x = 407,838.39 × 193,717.46
  4. Step 4: Simplify right side
    295,729.22x = 79,005,414,962.10
  5. Step 5: Solve for x
    x = 79,005,414,962.10/295,729.22
  6. Step 6: Final answer
    x = 267,154.58

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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.