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Finding the Fourth Proportional to 323,009.52, 484,410.94 and 106,828.10

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Solution

The fourth proportional to 323,009.52, 484,410.94 and 106,828.10 is: 160,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,009.52 : 484,410.94 = 106,828.10 : x
  2. Step 2: Convert to fraction form
    323,009.52/484,410.94 = 106,828.10/x
  3. Step 3: Cross multiply
    323,009.52x = 484,410.94 × 106,828.10
  4. Step 4: Simplify right side
    323,009.52x = 51,748,700,339.41
  5. Step 5: Solve for x
    x = 51,748,700,339.41/323,009.52
  6. Step 6: Final answer
    x = 160,207.97

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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.