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Finding the Fourth Proportional to 410,994.84, 564,997.47 and 353,422.20

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Solution

The fourth proportional to 410,994.84, 564,997.47 and 353,422.20 is: 485,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,994.84 : 564,997.47 = 353,422.20 : x
  2. Step 2: Convert to fraction form
    410,994.84/564,997.47 = 353,422.20/x
  3. Step 3: Cross multiply
    410,994.84x = 564,997.47 × 353,422.20
  4. Step 4: Simplify right side
    410,994.84x = 199,682,648,841.83
  5. Step 5: Solve for x
    x = 199,682,648,841.83/410,994.84
  6. Step 6: Final answer
    x = 485,851.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.