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Finding the Fourth Proportional to 510,797.23, 704,900.17 and 296,061.85

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Solution

The fourth proportional to 510,797.23, 704,900.17 and 296,061.85 is: 408,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,797.23 : 704,900.17 = 296,061.85 : x
  2. Step 2: Convert to fraction form
    510,797.23/704,900.17 = 296,061.85/x
  3. Step 3: Cross multiply
    510,797.23x = 704,900.17 × 296,061.85
  4. Step 4: Simplify right side
    510,797.23x = 208,694,043,390.70
  5. Step 5: Solve for x
    x = 208,694,043,390.70/510,797.23
  6. Step 6: Final answer
    x = 408,565.34

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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.