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Finding the Fourth Proportional to 382,552.11, 527,913.38 and 221,403.93

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Solution

The fourth proportional to 382,552.11, 527,913.38 and 221,403.93 is: 305,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,552.11 : 527,913.38 = 221,403.93 : x
  2. Step 2: Convert to fraction form
    382,552.11/527,913.38 = 221,403.93/x
  3. Step 3: Cross multiply
    382,552.11x = 527,913.38 × 221,403.93
  4. Step 4: Simplify right side
    382,552.11x = 116,882,095,605.42
  5. Step 5: Solve for x
    x = 116,882,095,605.42/382,552.11
  6. Step 6: Final answer
    x = 305,532.48

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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.