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Finding the Fourth Proportional to 510,152.40, 765,228.60 and 342,190.80

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Solution

The fourth proportional to 510,152.40, 765,228.60 and 342,190.80 is: 513,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,152.40 : 765,228.60 = 342,190.80 : x
  2. Step 2: Convert to fraction form
    510,152.40/765,228.60 = 342,190.80/x
  3. Step 3: Cross multiply
    510,152.40x = 765,228.60 × 342,190.80
  4. Step 4: Simplify right side
    510,152.40x = 261,854,186,816.88
  5. Step 5: Solve for x
    x = 261,854,186,816.88/510,152.40
  6. Step 6: Final answer
    x = 513,286.20

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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.