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Finding the Fourth Proportional to 416,723.58, 624,428.64 and 322,184.34

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Solution

The fourth proportional to 416,723.58, 624,428.64 and 322,184.34 is: 482,768.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,723.58 : 624,428.64 = 322,184.34 : x
  2. Step 2: Convert to fraction form
    416,723.58/624,428.64 = 322,184.34/x
  3. Step 3: Cross multiply
    416,723.58x = 624,428.64 × 322,184.34
  4. Step 4: Simplify right side
    416,723.58x = 201,181,129,255.50
  5. Step 5: Solve for x
    x = 201,181,129,255.50/416,723.58
  6. Step 6: Final answer
    x = 482,768.77

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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.