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Finding the Fourth Proportional to 380,969.78, 571,573.76 and 229,332.92

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Solution

The fourth proportional to 380,969.78, 571,573.76 and 229,332.92 is: 344,071.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,969.78 : 571,573.76 = 229,332.92 : x
  2. Step 2: Convert to fraction form
    380,969.78/571,573.76 = 229,332.92/x
  3. Step 3: Cross multiply
    380,969.78x = 571,573.76 × 229,332.92
  4. Step 4: Simplify right side
    380,969.78x = 131,080,675,371.65
  5. Step 5: Solve for x
    x = 131,080,675,371.65/380,969.78
  6. Step 6: Final answer
    x = 344,071.06

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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.