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Finding the Fourth Proportional to 366,153, 505,298.82 and 207,177

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Solution

The fourth proportional to 366,153, 505,298.82 and 207,177 is: 285,908.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,153 : 505,298.82 = 207,177 : x
  2. Step 2: Convert to fraction form
    366,153/505,298.82 = 207,177/x
  3. Step 3: Cross multiply
    366,153x = 505,298.82 × 207,177
  4. Step 4: Simplify right side
    366,153x = 104,686,293,631.14
  5. Step 5: Solve for x
    x = 104,686,293,631.14/366,153
  6. Step 6: Final answer
    x = 285,908.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.