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Finding the Fourth Proportional to 308,488.28, 461,897.64 and 201,605.96

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Solution

The fourth proportional to 308,488.28, 461,897.64 and 201,605.96 is: 301,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,488.28 : 461,897.64 = 201,605.96 : x
  2. Step 2: Convert to fraction form
    308,488.28/461,897.64 = 201,605.96/x
  3. Step 3: Cross multiply
    308,488.28x = 461,897.64 × 201,605.96
  4. Step 4: Simplify right side
    308,488.28x = 93,121,317,133.93
  5. Step 5: Solve for x
    x = 93,121,317,133.93/308,488.28
  6. Step 6: Final answer
    x = 301,863.39

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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.