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Finding the Fourth Proportional to 511,371.63, 705,697.74 and 281,937.11

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Solution

The fourth proportional to 511,371.63, 705,697.74 and 281,937.11 is: 389,075.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,371.63 : 705,697.74 = 281,937.11 : x
  2. Step 2: Convert to fraction form
    511,371.63/705,697.74 = 281,937.11/x
  3. Step 3: Cross multiply
    511,371.63x = 705,697.74 × 281,937.11
  4. Step 4: Simplify right side
    511,371.63x = 198,962,378,613.59
  5. Step 5: Solve for x
    x = 198,962,378,613.59/511,371.63
  6. Step 6: Final answer
    x = 389,075.90

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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.