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Finding the Fourth Proportional to 510,546.70, 704,548.77 and 281,099.25

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Solution

The fourth proportional to 510,546.70, 704,548.77 and 281,099.25 is: 387,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,546.70 : 704,548.77 = 281,099.25 : x
  2. Step 2: Convert to fraction form
    510,546.70/704,548.77 = 281,099.25/x
  3. Step 3: Cross multiply
    510,546.70x = 704,548.77 × 281,099.25
  4. Step 4: Simplify right side
    510,546.70x = 198,048,129,781.30
  5. Step 5: Solve for x
    x = 198,048,129,781.30/510,546.70
  6. Step 6: Final answer
    x = 387,913.84

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.