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Finding the Fourth Proportional to 316,412.69, 474,658.22 and 116,734.13

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Solution

The fourth proportional to 316,412.69, 474,658.22 and 116,734.13 is: 175,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,412.69 : 474,658.22 = 116,734.13 : x
  2. Step 2: Convert to fraction form
    316,412.69/474,658.22 = 116,734.13/x
  3. Step 3: Cross multiply
    316,412.69x = 474,658.22 × 116,734.13
  4. Step 4: Simplify right side
    316,412.69x = 55,408,814,359.05
  5. Step 5: Solve for x
    x = 55,408,814,359.05/316,412.69
  6. Step 6: Final answer
    x = 175,115.65

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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.