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Finding the Fourth Proportional to 510,649.62, 704,589.66 and 295,776.88

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Solution

The fourth proportional to 510,649.62, 704,589.66 and 295,776.88 is: 408,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,649.62 : 704,589.66 = 295,776.88 : x
  2. Step 2: Convert to fraction form
    510,649.62/704,589.66 = 295,776.88/x
  3. Step 3: Cross multiply
    510,649.62x = 704,589.66 × 295,776.88
  4. Step 4: Simplify right side
    510,649.62x = 208,401,331,315.06
  5. Step 5: Solve for x
    x = 208,401,331,315.06/510,649.62
  6. Step 6: Final answer
    x = 408,110.23

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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.