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Finding the Fourth Proportional to 510,896.58, 705,059.19 and 284,542.08

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Solution

The fourth proportional to 510,896.58, 705,059.19 and 284,542.08 is: 392,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,896.58 : 705,059.19 = 284,542.08 : x
  2. Step 2: Convert to fraction form
    510,896.58/705,059.19 = 284,542.08/x
  3. Step 3: Cross multiply
    510,896.58x = 705,059.19 × 284,542.08
  4. Step 4: Simplify right side
    510,896.58x = 200,619,008,445.72
  5. Step 5: Solve for x
    x = 200,619,008,445.72/510,896.58
  6. Step 6: Final answer
    x = 392,680.27

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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.