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Finding the Fourth Proportional to 510,580.63, 704,595.27 and 281,133.10

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Solution

The fourth proportional to 510,580.63, 704,595.27 and 281,133.10 is: 387,960.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,580.63 : 704,595.27 = 281,133.10 : x
  2. Step 2: Convert to fraction form
    510,580.63/704,595.27 = 281,133.10/x
  3. Step 3: Cross multiply
    510,580.63x = 704,595.27 × 281,133.10
  4. Step 4: Simplify right side
    510,580.63x = 198,085,052,500.44
  5. Step 5: Solve for x
    x = 198,085,052,500.44/510,580.63
  6. Step 6: Final answer
    x = 387,960.37

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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.