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Finding the Fourth Proportional to 470,644.14, 706,255.95 and 186,286.28

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Solution

The fourth proportional to 470,644.14, 706,255.95 and 186,286.28 is: 279,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,644.14 : 706,255.95 = 186,286.28 : x
  2. Step 2: Convert to fraction form
    470,644.14/706,255.95 = 186,286.28/x
  3. Step 3: Cross multiply
    470,644.14x = 706,255.95 × 186,286.28
  4. Step 4: Simplify right side
    470,644.14x = 131,565,789,656.37
  5. Step 5: Solve for x
    x = 131,565,789,656.37/470,644.14
  6. Step 6: Final answer
    x = 279,544.10

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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.