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Finding the Fourth Proportional to 506,804.82, 760,381.11 and 191,351.94

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Solution

The fourth proportional to 506,804.82, 760,381.11 and 191,351.94 is: 287,093.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,804.82 : 760,381.11 = 191,351.94 : x
  2. Step 2: Convert to fraction form
    506,804.82/760,381.11 = 191,351.94/x
  3. Step 3: Cross multiply
    506,804.82x = 760,381.11 × 191,351.94
  4. Step 4: Simplify right side
    506,804.82x = 145,500,400,537.85
  5. Step 5: Solve for x
    x = 145,500,400,537.85/506,804.82
  6. Step 6: Final answer
    x = 287,093.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.