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Finding the Fourth Proportional to 654,194.96, 902,656.73 and 382,210.32

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Solution

The fourth proportional to 654,194.96, 902,656.73 and 382,210.32 is: 527,372.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,194.96 : 902,656.73 = 382,210.32 : x
  2. Step 2: Convert to fraction form
    654,194.96/902,656.73 = 382,210.32/x
  3. Step 3: Cross multiply
    654,194.96x = 902,656.73 × 382,210.32
  4. Step 4: Simplify right side
    654,194.96x = 345,004,718,578.98
  5. Step 5: Solve for x
    x = 345,004,718,578.98/654,194.96
  6. Step 6: Final answer
    x = 527,372.94

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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.