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Finding the Fourth Proportional to 323,056.96, 484,640.80 and 109,802.32

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Solution

The fourth proportional to 323,056.96, 484,640.80 and 109,802.32 is: 164,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,056.96 : 484,640.80 = 109,802.32 : x
  2. Step 2: Convert to fraction form
    323,056.96/484,640.80 = 109,802.32/x
  3. Step 3: Cross multiply
    323,056.96x = 484,640.80 × 109,802.32
  4. Step 4: Simplify right side
    323,056.96x = 53,214,684,206.66
  5. Step 5: Solve for x
    x = 53,214,684,206.66/323,056.96
  6. Step 6: Final answer
    x = 164,722.30

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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.