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Finding the Fourth Proportional to 293,589, 405,152.82 and 159,453

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Solution

The fourth proportional to 293,589, 405,152.82 and 159,453 is: 220,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,589 : 405,152.82 = 159,453 : x
  2. Step 2: Convert to fraction form
    293,589/405,152.82 = 159,453/x
  3. Step 3: Cross multiply
    293,589x = 405,152.82 × 159,453
  4. Step 4: Simplify right side
    293,589x = 64,602,832,607.46
  5. Step 5: Solve for x
    x = 64,602,832,607.46/293,589
  6. Step 6: Final answer
    x = 220,045.14

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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.