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Finding the Fourth Proportional to 222,628, 333,961.44 and 56,416

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Solution

The fourth proportional to 222,628, 333,961.44 and 56,416 is: 84,628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,628 : 333,961.44 = 56,416 : x
  2. Step 2: Convert to fraction form
    222,628/333,961.44 = 56,416/x
  3. Step 3: Cross multiply
    222,628x = 333,961.44 × 56,416
  4. Step 4: Simplify right side
    222,628x = 18,840,768,599.04
  5. Step 5: Solve for x
    x = 18,840,768,599.04/222,628
  6. Step 6: Final answer
    x = 84,628.93

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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.