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Finding the Fourth Proportional to 510,868.44, 705,020.31 and 284,513.94

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Solution

The fourth proportional to 510,868.44, 705,020.31 and 284,513.94 is: 392,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,868.44 : 705,020.31 = 284,513.94 : x
  2. Step 2: Convert to fraction form
    510,868.44/705,020.31 = 284,513.94/x
  3. Step 3: Cross multiply
    510,868.44x = 705,020.31 × 284,513.94
  4. Step 4: Simplify right side
    510,868.44x = 200,588,106,178.12
  5. Step 5: Solve for x
    x = 200,588,106,178.12/510,868.44
  6. Step 6: Final answer
    x = 392,641.41

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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.