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Finding the Fourth Proportional to 411,101.10, 616,651.65 and 201,149.10

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Solution

The fourth proportional to 411,101.10, 616,651.65 and 201,149.10 is: 301,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,101.10 : 616,651.65 = 201,149.10 : x
  2. Step 2: Convert to fraction form
    411,101.10/616,651.65 = 201,149.10/x
  3. Step 3: Cross multiply
    411,101.10x = 616,651.65 × 201,149.10
  4. Step 4: Simplify right side
    411,101.10x = 124,038,924,411.02
  5. Step 5: Solve for x
    x = 124,038,924,411.02/411,101.10
  6. Step 6: Final answer
    x = 301,723.65

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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.