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Finding the Fourth Proportional to 415,454.52, 622,932.74 and 190,533.24

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Solution

The fourth proportional to 415,454.52, 622,932.74 and 190,533.24 is: 285,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,454.52 : 622,932.74 = 190,533.24 : x
  2. Step 2: Convert to fraction form
    415,454.52/622,932.74 = 190,533.24/x
  3. Step 3: Cross multiply
    415,454.52x = 622,932.74 × 190,533.24
  4. Step 4: Simplify right side
    415,454.52x = 118,689,393,254.28
  5. Step 5: Solve for x
    x = 118,689,393,254.28/415,454.52
  6. Step 6: Final answer
    x = 285,685.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.