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Finding the Fourth Proportional to 333,353.28, 460,023.96 and 180,388.11

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Solution

The fourth proportional to 333,353.28, 460,023.96 and 180,388.11 is: 248,933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,353.28 : 460,023.96 = 180,388.11 : x
  2. Step 2: Convert to fraction form
    333,353.28/460,023.96 = 180,388.11/x
  3. Step 3: Cross multiply
    333,353.28x = 460,023.96 × 180,388.11
  4. Step 4: Simplify right side
    333,353.28x = 82,982,852,699.12
  5. Step 5: Solve for x
    x = 82,982,852,699.12/333,353.28
  6. Step 6: Final answer
    x = 248,933.66

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Why These Related Problems?

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