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Finding the Fourth Proportional to 472,327.30, 708,230.94 and 322,736.50

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Solution

The fourth proportional to 472,327.30, 708,230.94 and 322,736.50 is: 483,927.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,327.30 : 708,230.94 = 322,736.50 : x
  2. Step 2: Convert to fraction form
    472,327.30/708,230.94 = 322,736.50/x
  3. Step 3: Cross multiply
    472,327.30x = 708,230.94 × 322,736.50
  4. Step 4: Simplify right side
    472,327.30x = 228,571,974,767.31
  5. Step 5: Solve for x
    x = 228,571,974,767.31/472,327.30
  6. Step 6: Final answer
    x = 483,927.09

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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.