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Finding the Fourth Proportional to 295,294.20, 442,941.30 and 201,982.20

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Solution

The fourth proportional to 295,294.20, 442,941.30 and 201,982.20 is: 302,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,294.20 : 442,941.30 = 201,982.20 : x
  2. Step 2: Convert to fraction form
    295,294.20/442,941.30 = 201,982.20/x
  3. Step 3: Cross multiply
    295,294.20x = 442,941.30 × 201,982.20
  4. Step 4: Simplify right side
    295,294.20x = 89,466,258,244.86
  5. Step 5: Solve for x
    x = 89,466,258,244.86/295,294.20
  6. Step 6: Final answer
    x = 302,973.30

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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.