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Finding the Fourth Proportional to 380,719.65, 525,448.29 and 219,542.61

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Solution

The fourth proportional to 380,719.65, 525,448.29 and 219,542.61 is: 303,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,719.65 : 525,448.29 = 219,542.61 : x
  2. Step 2: Convert to fraction form
    380,719.65/525,448.29 = 219,542.61/x
  3. Step 3: Cross multiply
    380,719.65x = 525,448.29 × 219,542.61
  4. Step 4: Simplify right side
    380,719.65x = 115,358,289,006.64
  5. Step 5: Solve for x
    x = 115,358,289,006.64/380,719.65
  6. Step 6: Final answer
    x = 303,000.62

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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.