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Finding the Fourth Proportional to 500,338.65, 690,466.42 and 270,895.91

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Solution

The fourth proportional to 500,338.65, 690,466.42 and 270,895.91 is: 373,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,338.65 : 690,466.42 = 270,895.91 : x
  2. Step 2: Convert to fraction form
    500,338.65/690,466.42 = 270,895.91/x
  3. Step 3: Cross multiply
    500,338.65x = 690,466.42 × 270,895.91
  4. Step 4: Simplify right side
    500,338.65x = 187,044,529,170.34
  5. Step 5: Solve for x
    x = 187,044,529,170.34/500,338.65
  6. Step 6: Final answer
    x = 373,835.86

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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.