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Finding the Fourth Proportional to 500,149.14, 690,205.76 and 270,706.38

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Solution

The fourth proportional to 500,149.14, 690,205.76 and 270,706.38 is: 373,574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,149.14 : 690,205.76 = 270,706.38 : x
  2. Step 2: Convert to fraction form
    500,149.14/690,205.76 = 270,706.38/x
  3. Step 3: Cross multiply
    500,149.14x = 690,205.76 × 270,706.38
  4. Step 4: Simplify right side
    500,149.14x = 186,843,101,391.22
  5. Step 5: Solve for x
    x = 186,843,101,391.22/500,149.14
  6. Step 6: Final answer
    x = 373,574.77

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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.