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Finding the Fourth Proportional to 293,815, 405,465.06 and 159,679

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Solution

The fourth proportional to 293,815, 405,465.06 and 159,679 is: 220,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,815 : 405,465.06 = 159,679 : x
  2. Step 2: Convert to fraction form
    293,815/405,465.06 = 159,679/x
  3. Step 3: Cross multiply
    293,815x = 405,465.06 × 159,679
  4. Step 4: Simplify right side
    293,815x = 64,744,255,315.74
  5. Step 5: Solve for x
    x = 64,744,255,315.74/293,815
  6. Step 6: Final answer
    x = 220,357.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.