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Finding the Fourth Proportional to 286,955.14, 396,032.21 and 164,491.35

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Solution

The fourth proportional to 286,955.14, 396,032.21 and 164,491.35 is: 227,017.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,955.14 : 396,032.21 = 164,491.35 : x
  2. Step 2: Convert to fraction form
    286,955.14/396,032.21 = 164,491.35/x
  3. Step 3: Cross multiply
    286,955.14x = 396,032.21 × 164,491.35
  4. Step 4: Simplify right side
    286,955.14x = 65,143,872,866.38
  5. Step 5: Solve for x
    x = 65,143,872,866.38/286,955.14
  6. Step 6: Final answer
    x = 227,017.62

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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.