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Finding the Fourth Proportional to 472,344.94, 708,257.40 and 322,754.14

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Solution

The fourth proportional to 472,344.94, 708,257.40 and 322,754.14 is: 483,953.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,344.94 : 708,257.40 = 322,754.14 : x
  2. Step 2: Convert to fraction form
    472,344.94/708,257.40 = 322,754.14/x
  3. Step 3: Cross multiply
    472,344.94x = 708,257.40 × 322,754.14
  4. Step 4: Simplify right side
    472,344.94x = 228,593,008,035.64
  5. Step 5: Solve for x
    x = 228,593,008,035.64/472,344.94
  6. Step 6: Final answer
    x = 483,953.54

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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.