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Finding the Fourth Proportional to 334,138.44, 501,635.36 and 287,054.76

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Solution

The fourth proportional to 334,138.44, 501,635.36 and 287,054.76 is: 430,949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,138.44 : 501,635.36 = 287,054.76 : x
  2. Step 2: Convert to fraction form
    334,138.44/501,635.36 = 287,054.76/x
  3. Step 3: Cross multiply
    334,138.44x = 501,635.36 × 287,054.76
  4. Step 4: Simplify right side
    334,138.44x = 143,996,817,872.31
  5. Step 5: Solve for x
    x = 143,996,817,872.31/334,138.44
  6. Step 6: Final answer
    x = 430,949.57

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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.