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Finding the Fourth Proportional to 313,147.43, 469,715.64 and 216,995.97

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Solution

The fourth proportional to 313,147.43, 469,715.64 and 216,995.97 is: 325,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,147.43 : 469,715.64 = 216,995.97 : x
  2. Step 2: Convert to fraction form
    313,147.43/469,715.64 = 216,995.97/x
  3. Step 3: Cross multiply
    313,147.43x = 469,715.64 × 216,995.97
  4. Step 4: Simplify right side
    313,147.43x = 101,926,400,925.97
  5. Step 5: Solve for x
    x = 101,926,400,925.97/313,147.43
  6. Step 6: Final answer
    x = 325,490.14

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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.