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Finding the Fourth Proportional to 232,808.30, 348,912.93 and 202,699.34

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Solution

The fourth proportional to 232,808.30, 348,912.93 and 202,699.34 is: 303,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,808.30 : 348,912.93 = 202,699.34 : x
  2. Step 2: Convert to fraction form
    232,808.30/348,912.93 = 202,699.34/x
  3. Step 3: Cross multiply
    232,808.30x = 348,912.93 × 202,699.34
  4. Step 4: Simplify right side
    232,808.30x = 70,724,420,628.47
  5. Step 5: Solve for x
    x = 70,724,420,628.47/232,808.30
  6. Step 6: Final answer
    x = 303,788.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.