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Finding the Fourth Proportional to 510,970.28, 705,160.74 and 284,615.88

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Solution

The fourth proportional to 510,970.28, 705,160.74 and 284,615.88 is: 392,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,970.28 : 705,160.74 = 284,615.88 : x
  2. Step 2: Convert to fraction form
    510,970.28/705,160.74 = 284,615.88/x
  3. Step 3: Cross multiply
    510,970.28x = 705,160.74 × 284,615.88
  4. Step 4: Simplify right side
    510,970.28x = 200,699,944,556.55
  5. Step 5: Solve for x
    x = 200,699,944,556.55/510,970.28
  6. Step 6: Final answer
    x = 392,782.03

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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.