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Finding the Fourth Proportional to 510,556.50, 704,567.97 and 284,216.58

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Solution

The fourth proportional to 510,556.50, 704,567.97 and 284,216.58 is: 392,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,556.50 : 704,567.97 = 284,216.58 : x
  2. Step 2: Convert to fraction form
    510,556.50/704,567.97 = 284,216.58/x
  3. Step 3: Cross multiply
    510,556.50x = 704,567.97 × 284,216.58
  4. Step 4: Simplify right side
    510,556.50x = 200,249,898,810.94
  5. Step 5: Solve for x
    x = 200,249,898,810.94/510,556.50
  6. Step 6: Final answer
    x = 392,218.88

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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.