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Finding the Fourth Proportional to 510,451.21, 704,410.25 and 281,006.63

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Solution

The fourth proportional to 510,451.21, 704,410.25 and 281,006.63 is: 387,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,451.21 : 704,410.25 = 281,006.63 : x
  2. Step 2: Convert to fraction form
    510,451.21/704,410.25 = 281,006.63/x
  3. Step 3: Cross multiply
    510,451.21x = 704,410.25 × 281,006.63
  4. Step 4: Simplify right side
    510,451.21x = 197,943,950,489.96
  5. Step 5: Solve for x
    x = 197,943,950,489.96/510,451.21
  6. Step 6: Final answer
    x = 387,782.31

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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.