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Finding the Fourth Proportional to 402,107.06, 555,096.69 and 232,308.38

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Solution

The fourth proportional to 402,107.06, 555,096.69 and 232,308.38 is: 320,694.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,107.06 : 555,096.69 = 232,308.38 : x
  2. Step 2: Convert to fraction form
    402,107.06/555,096.69 = 232,308.38/x
  3. Step 3: Cross multiply
    402,107.06x = 555,096.69 × 232,308.38
  4. Step 4: Simplify right side
    402,107.06x = 128,953,612,797.26
  5. Step 5: Solve for x
    x = 128,953,612,797.26/402,107.06
  6. Step 6: Final answer
    x = 320,694.72

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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.