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Finding the Fourth Proportional to 510,974.57, 766,580.57 and 174,018.14

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Solution

The fourth proportional to 510,974.57, 766,580.57 and 174,018.14 is: 261,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,974.57 : 766,580.57 = 174,018.14 : x
  2. Step 2: Convert to fraction form
    510,974.57/766,580.57 = 174,018.14/x
  3. Step 3: Cross multiply
    510,974.57x = 766,580.57 × 174,018.14
  4. Step 4: Simplify right side
    510,974.57x = 133,398,920,248.55
  5. Step 5: Solve for x
    x = 133,398,920,248.55/510,974.57
  6. Step 6: Final answer
    x = 261,067.63

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1.5x scale

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.