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Finding the Fourth Proportional to 484,066.72, 726,178.16 and 203,664.16

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Solution

The fourth proportional to 484,066.72, 726,178.16 and 203,664.16 is: 305,529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,066.72 : 726,178.16 = 203,664.16 : x
  2. Step 2: Convert to fraction form
    484,066.72/726,178.16 = 203,664.16/x
  3. Step 3: Cross multiply
    484,066.72x = 726,178.16 × 203,664.16
  4. Step 4: Simplify right side
    484,066.72x = 147,896,464,966.75
  5. Step 5: Solve for x
    x = 147,896,464,966.75/484,066.72
  6. Step 6: Final answer
    x = 305,529.09

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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.