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Finding the Fourth Proportional to 294,467.34, 441,832.08 and 107,435.10

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Solution

The fourth proportional to 294,467.34, 441,832.08 and 107,435.10 is: 161,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,467.34 : 441,832.08 = 107,435.10 : x
  2. Step 2: Convert to fraction form
    294,467.34/441,832.08 = 107,435.10/x
  3. Step 3: Cross multiply
    294,467.34x = 441,832.08 × 107,435.10
  4. Step 4: Simplify right side
    294,467.34x = 47,468,273,698.01
  5. Step 5: Solve for x
    x = 47,468,273,698.01/294,467.34
  6. Step 6: Final answer
    x = 161,200.47

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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.