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Finding the Fourth Proportional to 510,081.70, 765,122.55 and 421,435.30

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Solution

The fourth proportional to 510,081.70, 765,122.55 and 421,435.30 is: 632,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,081.70 : 765,122.55 = 421,435.30 : x
  2. Step 2: Convert to fraction form
    510,081.70/765,122.55 = 421,435.30/x
  3. Step 3: Cross multiply
    510,081.70x = 765,122.55 × 421,435.30
  4. Step 4: Simplify right side
    510,081.70x = 322,449,651,396.02
  5. Step 5: Solve for x
    x = 322,449,651,396.02/510,081.70
  6. Step 6: Final answer
    x = 632,152.95

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