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Finding the Fourth Proportional to 362,978.24, 500,836.20 and 212,046.08

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Solution

The fourth proportional to 362,978.24, 500,836.20 and 212,046.08 is: 292,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,978.24 : 500,836.20 = 212,046.08 : x
  2. Step 2: Convert to fraction form
    362,978.24/500,836.20 = 212,046.08/x
  3. Step 3: Cross multiply
    362,978.24x = 500,836.20 × 212,046.08
  4. Step 4: Simplify right side
    362,978.24x = 106,200,352,932.10
  5. Step 5: Solve for x
    x = 106,200,352,932.10/362,978.24
  6. Step 6: Final answer
    x = 292,580.49

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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.