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Finding the Fourth Proportional to 293,846, 405,507.48 and 174,614

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Solution

The fourth proportional to 293,846, 405,507.48 and 174,614 is: 240,967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,846 : 405,507.48 = 174,614 : x
  2. Step 2: Convert to fraction form
    293,846/405,507.48 = 174,614/x
  3. Step 3: Cross multiply
    293,846x = 405,507.48 × 174,614
  4. Step 4: Simplify right side
    293,846x = 70,807,283,112.72
  5. Step 5: Solve for x
    x = 70,807,283,112.72/293,846
  6. Step 6: Final answer
    x = 240,967.32

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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.