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Finding the Fourth Proportional to 510,076.40, 765,114.60 and 155,089.85

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Solution

The fourth proportional to 510,076.40, 765,114.60 and 155,089.85 is: 232,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,076.40 : 765,114.60 = 155,089.85 : x
  2. Step 2: Convert to fraction form
    510,076.40/765,114.60 = 155,089.85/x
  3. Step 3: Cross multiply
    510,076.40x = 765,114.60 × 155,089.85
  4. Step 4: Simplify right side
    510,076.40x = 118,661,508,546.81
  5. Step 5: Solve for x
    x = 118,661,508,546.81/510,076.40
  6. Step 6: Final answer
    x = 232,634.78

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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.