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Finding the Fourth Proportional to 380,107.38, 524,552.85 and 210,357.30

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Solution

The fourth proportional to 380,107.38, 524,552.85 and 210,357.30 is: 290,295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,107.38 : 524,552.85 = 210,357.30 : x
  2. Step 2: Convert to fraction form
    380,107.38/524,552.85 = 210,357.30/x
  3. Step 3: Cross multiply
    380,107.38x = 524,552.85 × 210,357.30
  4. Step 4: Simplify right side
    380,107.38x = 110,343,521,233.31
  5. Step 5: Solve for x
    x = 110,343,521,233.31/380,107.38
  6. Step 6: Final answer
    x = 290,295.66

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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.