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Finding the Fourth Proportional to 323,200.76, 484,499.46 and 109,822.64

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Solution

The fourth proportional to 323,200.76, 484,499.46 and 109,822.64 is: 164,631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,200.76 : 484,499.46 = 109,822.64 : x
  2. Step 2: Convert to fraction form
    323,200.76/484,499.46 = 109,822.64/x
  3. Step 3: Cross multiply
    323,200.76x = 484,499.46 × 109,822.64
  4. Step 4: Simplify right side
    323,200.76x = 53,209,009,775.77
  5. Step 5: Solve for x
    x = 53,209,009,775.77/323,200.76
  6. Step 6: Final answer
    x = 164,631.45

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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.