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Finding the Fourth Proportional to 510,758.80, 704,824.23 and 292,811.20

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Solution

The fourth proportional to 510,758.80, 704,824.23 and 292,811.20 is: 404,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,758.80 : 704,824.23 = 292,811.20 : x
  2. Step 2: Convert to fraction form
    510,758.80/704,824.23 = 292,811.20/x
  3. Step 3: Cross multiply
    510,758.80x = 704,824.23 × 292,811.20
  4. Step 4: Simplify right side
    510,758.80x = 206,380,428,575.38
  5. Step 5: Solve for x
    x = 206,380,428,575.38/510,758.80
  6. Step 6: Final answer
    x = 404,066.32

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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.