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Finding the Fourth Proportional to 510,448, 766,022.64 and 178,024

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Solution

The fourth proportional to 510,448, 766,022.64 and 178,024 is: 267,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,448 : 766,022.64 = 178,024 : x
  2. Step 2: Convert to fraction form
    510,448/766,022.64 = 178,024/x
  3. Step 3: Cross multiply
    510,448x = 766,022.64 × 178,024
  4. Step 4: Simplify right side
    510,448x = 136,370,414,463.36
  5. Step 5: Solve for x
    x = 136,370,414,463.36/510,448
  6. Step 6: Final answer
    x = 267,158.29

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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.