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Finding the Fourth Proportional to 322,902.42, 484,354.04 and 154,383.14

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Solution

The fourth proportional to 322,902.42, 484,354.04 and 154,383.14 is: 231,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,902.42 : 484,354.04 = 154,383.14 : x
  2. Step 2: Convert to fraction form
    322,902.42/484,354.04 = 154,383.14/x
  3. Step 3: Cross multiply
    322,902.42x = 484,354.04 × 154,383.14
  4. Step 4: Simplify right side
    322,902.42x = 74,776,094,373.20
  5. Step 5: Solve for x
    x = 74,776,094,373.20/322,902.42
  6. Step 6: Final answer
    x = 231,574.90

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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.