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Finding the Fourth Proportional to 320,062.14, 480,394.50 and 162,403.74

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Solution

The fourth proportional to 320,062.14, 480,394.50 and 162,403.74 is: 243,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,062.14 : 480,394.50 = 162,403.74 : x
  2. Step 2: Convert to fraction form
    320,062.14/480,394.50 = 162,403.74/x
  3. Step 3: Cross multiply
    320,062.14x = 480,394.50 × 162,403.74
  4. Step 4: Simplify right side
    320,062.14x = 78,017,863,475.43
  5. Step 5: Solve for x
    x = 78,017,863,475.43/320,062.14
  6. Step 6: Final answer
    x = 243,758.49

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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.