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Finding the Fourth Proportional to 323,026.96, 484,595.76 and 109,772.32

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Solution

The fourth proportional to 323,026.96, 484,595.76 and 109,772.32 is: 164,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,026.96 : 484,595.76 = 109,772.32 : x
  2. Step 2: Convert to fraction form
    323,026.96/484,595.76 = 109,772.32/x
  3. Step 3: Cross multiply
    323,026.96x = 484,595.76 × 109,772.32
  4. Step 4: Simplify right side
    323,026.96x = 53,195,200,837.36
  5. Step 5: Solve for x
    x = 53,195,200,837.36/323,026.96
  6. Step 6: Final answer
    x = 164,677.28

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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.