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Finding the Fourth Proportional to 504,162, 695,758.20 and 277,822.08

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Solution

The fourth proportional to 504,162, 695,758.20 and 277,822.08 is: 383,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,162 : 695,758.20 = 277,822.08 : x
  2. Step 2: Convert to fraction form
    504,162/695,758.20 = 277,822.08/x
  3. Step 3: Cross multiply
    504,162x = 695,758.20 × 277,822.08
  4. Step 4: Simplify right side
    504,162x = 193,296,990,301.06
  5. Step 5: Solve for x
    x = 193,296,990,301.06/504,162
  6. Step 6: Final answer
    x = 383,402.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.