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Finding the Fourth Proportional to 510,806.75, 704,851.58 and 293,004.14

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Solution

The fourth proportional to 510,806.75, 704,851.58 and 293,004.14 is: 404,310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,806.75 : 704,851.58 = 293,004.14 : x
  2. Step 2: Convert to fraction form
    510,806.75/704,851.58 = 293,004.14/x
  3. Step 3: Cross multiply
    510,806.75x = 704,851.58 × 293,004.14
  4. Step 4: Simplify right side
    510,806.75x = 206,524,428,233.79
  5. Step 5: Solve for x
    x = 206,524,428,233.79/510,806.75
  6. Step 6: Final answer
    x = 404,310.30

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1.5x scale

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.