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Finding the Fourth Proportional to 447,761.66, 616,860.18 and 311,561.38

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Solution

The fourth proportional to 447,761.66, 616,860.18 and 311,561.38 is: 429,223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,761.66 : 616,860.18 = 311,561.38 : x
  2. Step 2: Convert to fraction form
    447,761.66/616,860.18 = 311,561.38/x
  3. Step 3: Cross multiply
    447,761.66x = 616,860.18 × 311,561.38
  4. Step 4: Simplify right side
    447,761.66x = 192,189,807,405.70
  5. Step 5: Solve for x
    x = 192,189,807,405.70/447,761.66
  6. Step 6: Final answer
    x = 429,223.45

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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.