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Finding the Fourth Proportional to 308,686.38, 462,713.82 and 208,857.12

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Solution

The fourth proportional to 308,686.38, 462,713.82 and 208,857.12 is: 313,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,686.38 : 462,713.82 = 208,857.12 : x
  2. Step 2: Convert to fraction form
    308,686.38/462,713.82 = 208,857.12/x
  3. Step 3: Cross multiply
    308,686.38x = 462,713.82 × 208,857.12
  4. Step 4: Simplify right side
    308,686.38x = 96,641,075,829.40
  5. Step 5: Solve for x
    x = 96,641,075,829.40/308,686.38
  6. Step 6: Final answer
    x = 313,072.04

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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.