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Finding the Fourth Proportional to 392,322.82, 541,460.64 and 229,032.88

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Solution

The fourth proportional to 392,322.82, 541,460.64 and 229,032.88 is: 316,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,322.82 : 541,460.64 = 229,032.88 : x
  2. Step 2: Convert to fraction form
    392,322.82/541,460.64 = 229,032.88/x
  3. Step 3: Cross multiply
    392,322.82x = 541,460.64 × 229,032.88
  4. Step 4: Simplify right side
    392,322.82x = 124,012,289,785.84
  5. Step 5: Solve for x
    x = 124,012,289,785.84/392,322.82
  6. Step 6: Final answer
    x = 316,097.57

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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.