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Finding the Fourth Proportional to 511,427.59, 705,774.84 and 281,993.11

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Solution

The fourth proportional to 511,427.59, 705,774.84 and 281,993.11 is: 389,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,427.59 : 705,774.84 = 281,993.11 : x
  2. Step 2: Convert to fraction form
    511,427.59/705,774.84 = 281,993.11/x
  3. Step 3: Cross multiply
    511,427.59x = 705,774.84 × 281,993.11
  4. Step 4: Simplify right side
    511,427.59x = 199,023,642,091.35
  5. Step 5: Solve for x
    x = 199,023,642,091.35/511,427.59
  6. Step 6: Final answer
    x = 389,153.12

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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.