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Finding the Fourth Proportional to 504,184.60, 755,355.30 and 410,181.40

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Solution

The fourth proportional to 504,184.60, 755,355.30 and 410,181.40 is: 614,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,184.60 : 755,355.30 = 410,181.40 : x
  2. Step 2: Convert to fraction form
    504,184.60/755,355.30 = 410,181.40/x
  3. Step 3: Cross multiply
    504,184.60x = 755,355.30 × 410,181.40
  4. Step 4: Simplify right side
    504,184.60x = 309,832,694,451.42
  5. Step 5: Solve for x
    x = 309,832,694,451.42/504,184.60
  6. Step 6: Final answer
    x = 614,522.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.