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Finding the Fourth Proportional to 358,447.32, 494,639.40 and 197,298.36

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Solution

The fourth proportional to 358,447.32, 494,639.40 and 197,298.36 is: 272,261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,447.32 : 494,639.40 = 197,298.36 : x
  2. Step 2: Convert to fraction form
    358,447.32/494,639.40 = 197,298.36/x
  3. Step 3: Cross multiply
    358,447.32x = 494,639.40 × 197,298.36
  4. Step 4: Simplify right side
    358,447.32x = 97,591,542,411.38
  5. Step 5: Solve for x
    x = 97,591,542,411.38/358,447.32
  6. Step 6: Final answer
    x = 272,261.88

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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.