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Finding the Fourth Proportional to 567,625.91, 783,329.87 and 309,500.75

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Solution

The fourth proportional to 567,625.91, 783,329.87 and 309,500.75 is: 427,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,625.91 : 783,329.87 = 309,500.75 : x
  2. Step 2: Convert to fraction form
    567,625.91/783,329.87 = 309,500.75/x
  3. Step 3: Cross multiply
    567,625.91x = 783,329.87 × 309,500.75
  4. Step 4: Simplify right side
    567,625.91x = 242,441,184,994.48
  5. Step 5: Solve for x
    x = 242,441,184,994.48/567,625.91
  6. Step 6: Final answer
    x = 427,114.38

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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.