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Finding the Fourth Proportional to 316,134.58, 473,869.72 and 196,191.30

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Solution

The fourth proportional to 316,134.58, 473,869.72 and 196,191.30 is: 294,080.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,134.58 : 473,869.72 = 196,191.30 : x
  2. Step 2: Convert to fraction form
    316,134.58/473,869.72 = 196,191.30/x
  3. Step 3: Cross multiply
    316,134.58x = 473,869.72 × 196,191.30
  4. Step 4: Simplify right side
    316,134.58x = 92,969,116,397.44
  5. Step 5: Solve for x
    x = 92,969,116,397.44/316,134.58
  6. Step 6: Final answer
    x = 294,080.82

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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.