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Finding the Fourth Proportional to 316,484.82, 474,675.66 and 116,899.20

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Solution

The fourth proportional to 316,484.82, 474,675.66 and 116,899.20 is: 175,329.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,484.82 : 474,675.66 = 116,899.20 : x
  2. Step 2: Convert to fraction form
    316,484.82/474,675.66 = 116,899.20/x
  3. Step 3: Cross multiply
    316,484.82x = 474,675.66 × 116,899.20
  4. Step 4: Simplify right side
    316,484.82x = 55,489,204,913.47
  5. Step 5: Solve for x
    x = 55,489,204,913.47/316,484.82
  6. Step 6: Final answer
    x = 175,329.75

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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.