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Finding the Fourth Proportional to 602,195.34, 903,642.84 and 269,771.34

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Solution

The fourth proportional to 602,195.34, 903,642.84 and 269,771.34 is: 404,813.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,195.34 : 903,642.84 = 269,771.34 : x
  2. Step 2: Convert to fraction form
    602,195.34/903,642.84 = 269,771.34/x
  3. Step 3: Cross multiply
    602,195.34x = 903,642.84 × 269,771.34
  4. Step 4: Simplify right side
    602,195.34x = 243,776,939,828.21
  5. Step 5: Solve for x
    x = 243,776,939,828.21/602,195.34
  6. Step 6: Final answer
    x = 404,813.73

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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.