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Finding the Fourth Proportional to 640,833.10, 961,249.65 and 309,057.10

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Solution

The fourth proportional to 640,833.10, 961,249.65 and 309,057.10 is: 463,585.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,833.10 : 961,249.65 = 309,057.10 : x
  2. Step 2: Convert to fraction form
    640,833.10/961,249.65 = 309,057.10/x
  3. Step 3: Cross multiply
    640,833.10x = 961,249.65 × 309,057.10
  4. Step 4: Simplify right side
    640,833.10x = 297,081,029,205.02
  5. Step 5: Solve for x
    x = 297,081,029,205.02/640,833.10
  6. Step 6: Final answer
    x = 463,585.65

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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.