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Finding the Fourth Proportional to 567,993.08, 783,832.65 and 309,875.82

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Solution

The fourth proportional to 567,993.08, 783,832.65 and 309,875.82 is: 427,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,993.08 : 783,832.65 = 309,875.82 : x
  2. Step 2: Convert to fraction form
    567,993.08/783,832.65 = 309,875.82/x
  3. Step 3: Cross multiply
    567,993.08x = 783,832.65 × 309,875.82
  4. Step 4: Simplify right side
    567,993.08x = 242,890,785,161.52
  5. Step 5: Solve for x
    x = 242,890,785,161.52/567,993.08
  6. Step 6: Final answer
    x = 427,629.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.