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Finding the Fourth Proportional to 469,204.94, 702,670.85 and 324,705.85

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Solution

The fourth proportional to 469,204.94, 702,670.85 and 324,705.85 is: 486,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,204.94 : 702,670.85 = 324,705.85 : x
  2. Step 2: Convert to fraction form
    469,204.94/702,670.85 = 324,705.85/x
  3. Step 3: Cross multiply
    469,204.94x = 702,670.85 × 324,705.85
  4. Step 4: Simplify right side
    469,204.94x = 228,161,339,590.25
  5. Step 5: Solve for x
    x = 228,161,339,590.25/469,204.94
  6. Step 6: Final answer
    x = 486,272.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.