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Finding the Fourth Proportional to 334,118.27, 501,605.09 and 287,034.59

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Solution

The fourth proportional to 334,118.27, 501,605.09 and 287,034.59 is: 430,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,118.27 : 501,605.09 = 287,034.59 : x
  2. Step 2: Convert to fraction form
    334,118.27/501,605.09 = 287,034.59/x
  3. Step 3: Cross multiply
    334,118.27x = 501,605.09 × 287,034.59
  4. Step 4: Simplify right side
    334,118.27x = 143,978,010,364.26
  5. Step 5: Solve for x
    x = 143,978,010,364.26/334,118.27
  6. Step 6: Final answer
    x = 430,919.30

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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.