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Finding the Fourth Proportional to 293,646, 405,231.96 and 159,510

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Solution

The fourth proportional to 293,646, 405,231.96 and 159,510 is: 220,124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,646 : 405,231.96 = 159,510 : x
  2. Step 2: Convert to fraction form
    293,646/405,231.96 = 159,510/x
  3. Step 3: Cross multiply
    293,646x = 405,231.96 × 159,510
  4. Step 4: Simplify right side
    293,646x = 64,638,549,939.60
  5. Step 5: Solve for x
    x = 64,638,549,939.60/293,646
  6. Step 6: Final answer
    x = 220,124.06

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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.