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Finding the Fourth Proportional to 470,644.51, 706,256.51 and 186,286.65

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Solution

The fourth proportional to 470,644.51, 706,256.51 and 186,286.65 is: 279,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,644.51 : 706,256.51 = 186,286.65 : x
  2. Step 2: Convert to fraction form
    470,644.51/706,256.51 = 186,286.65/x
  3. Step 3: Cross multiply
    470,644.51x = 706,256.51 × 186,286.65
  4. Step 4: Simplify right side
    470,644.51x = 131,566,159,288.59
  5. Step 5: Solve for x
    x = 131,566,159,288.59/470,644.51
  6. Step 6: Final answer
    x = 279,544.66

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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.