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Finding the Fourth Proportional to 510,145.20, 765,217.80 and 421,498.80

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Solution

The fourth proportional to 510,145.20, 765,217.80 and 421,498.80 is: 632,248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,145.20 : 765,217.80 = 421,498.80 : x
  2. Step 2: Convert to fraction form
    510,145.20/765,217.80 = 421,498.80/x
  3. Step 3: Cross multiply
    510,145.20x = 765,217.80 × 421,498.80
  4. Step 4: Simplify right side
    510,145.20x = 322,538,384,438.64
  5. Step 5: Solve for x
    x = 322,538,384,438.64/510,145.20
  6. Step 6: Final answer
    x = 632,248.20

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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.