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Finding the Fourth Proportional to 313,615.28, 432,826.19 and 186,291.38

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Solution

The fourth proportional to 313,615.28, 432,826.19 and 186,291.38 is: 257,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,615.28 : 432,826.19 = 186,291.38 : x
  2. Step 2: Convert to fraction form
    313,615.28/432,826.19 = 186,291.38/x
  3. Step 3: Cross multiply
    313,615.28x = 432,826.19 × 186,291.38
  4. Step 4: Simplify right side
    313,615.28x = 80,631,785,139.65
  5. Step 5: Solve for x
    x = 80,631,785,139.65/313,615.28
  6. Step 6: Final answer
    x = 257,104.14

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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.