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Finding the Fourth Proportional to 442,683.82, 610,932.54 and 251,714.98

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Solution

The fourth proportional to 442,683.82, 610,932.54 and 251,714.98 is: 347,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,683.82 : 610,932.54 = 251,714.98 : x
  2. Step 2: Convert to fraction form
    442,683.82/610,932.54 = 251,714.98/x
  3. Step 3: Cross multiply
    442,683.82x = 610,932.54 × 251,714.98
  4. Step 4: Simplify right side
    442,683.82x = 153,780,872,087.45
  5. Step 5: Solve for x
    x = 153,780,872,087.45/442,683.82
  6. Step 6: Final answer
    x = 347,383.09

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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.