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Finding the Fourth Proportional to 294,782.83, 406,750.57 and 165,704.27

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Solution

The fourth proportional to 294,782.83, 406,750.57 and 165,704.27 is: 228,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,782.83 : 406,750.57 = 165,704.27 : x
  2. Step 2: Convert to fraction form
    294,782.83/406,750.57 = 165,704.27/x
  3. Step 3: Cross multiply
    294,782.83x = 406,750.57 × 165,704.27
  4. Step 4: Simplify right side
    294,782.83x = 67,400,303,825.92
  5. Step 5: Solve for x
    x = 67,400,303,825.92/294,782.83
  6. Step 6: Final answer
    x = 228,643.93

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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.