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Finding the Fourth Proportional to 415,336.98, 622,739.31 and 175,385.88

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Solution

The fourth proportional to 415,336.98, 622,739.31 and 175,385.88 is: 262,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,336.98 : 622,739.31 = 175,385.88 : x
  2. Step 2: Convert to fraction form
    415,336.98/622,739.31 = 175,385.88/x
  3. Step 3: Cross multiply
    415,336.98x = 622,739.31 × 175,385.88
  4. Step 4: Simplify right side
    415,336.98x = 109,219,681,894.94
  5. Step 5: Solve for x
    x = 109,219,681,894.94/415,336.98
  6. Step 6: Final answer
    x = 262,966.43

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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.