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Finding the Fourth Proportional to 368,849.29, 509,007.01 and 207,706.27

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Solution

The fourth proportional to 368,849.29, 509,007.01 and 207,706.27 is: 286,631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,849.29 : 509,007.01 = 207,706.27 : x
  2. Step 2: Convert to fraction form
    368,849.29/509,007.01 = 207,706.27/x
  3. Step 3: Cross multiply
    368,849.29x = 509,007.01 × 207,706.27
  4. Step 4: Simplify right side
    368,849.29x = 105,723,947,450.95
  5. Step 5: Solve for x
    x = 105,723,947,450.95/368,849.29
  6. Step 6: Final answer
    x = 286,631.83

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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.