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Finding the Fourth Proportional to 340,608.30, 470,004.17 and 209,765.25

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Solution

The fourth proportional to 340,608.30, 470,004.17 and 209,765.25 is: 289,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,608.30 : 470,004.17 = 209,765.25 : x
  2. Step 2: Convert to fraction form
    340,608.30/470,004.17 = 209,765.25/x
  3. Step 3: Cross multiply
    340,608.30x = 470,004.17 × 209,765.25
  4. Step 4: Simplify right side
    340,608.30x = 98,590,541,172.27
  5. Step 5: Solve for x
    x = 98,590,541,172.27/340,608.30
  6. Step 6: Final answer
    x = 289,454.31

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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.