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Finding the Fourth Proportional to 333,523.38, 500,292.45 and 120,308.34

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Solution

The fourth proportional to 333,523.38, 500,292.45 and 120,308.34 is: 180,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,523.38 : 500,292.45 = 120,308.34 : x
  2. Step 2: Convert to fraction form
    333,523.38/500,292.45 = 120,308.34/x
  3. Step 3: Cross multiply
    333,523.38x = 500,292.45 × 120,308.34
  4. Step 4: Simplify right side
    333,523.38x = 60,189,354,174.03
  5. Step 5: Solve for x
    x = 60,189,354,174.03/333,523.38
  6. Step 6: Final answer
    x = 180,465.17

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