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Finding the Fourth Proportional to 510,626.84, 704,659.10 and 281,179.35

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Solution

The fourth proportional to 510,626.84, 704,659.10 and 281,179.35 is: 388,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,626.84 : 704,659.10 = 281,179.35 : x
  2. Step 2: Convert to fraction form
    510,626.84/704,659.10 = 281,179.35/x
  3. Step 3: Cross multiply
    510,626.84x = 704,659.10 × 281,179.35
  4. Step 4: Simplify right side
    510,626.84x = 198,135,586,303.69
  5. Step 5: Solve for x
    x = 198,135,586,303.69/510,626.84
  6. Step 6: Final answer
    x = 388,024.23

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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.