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Finding the Fourth Proportional to 294,893.80, 406,953.46 and 160,757.80

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Solution

The fourth proportional to 294,893.80, 406,953.46 and 160,757.80 is: 221,845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,893.80 : 406,953.46 = 160,757.80 : x
  2. Step 2: Convert to fraction form
    294,893.80/406,953.46 = 160,757.80/x
  3. Step 3: Cross multiply
    294,893.80x = 406,953.46 × 160,757.80
  4. Step 4: Simplify right side
    294,893.80x = 65,420,942,931.99
  5. Step 5: Solve for x
    x = 65,420,942,931.99/294,893.80
  6. Step 6: Final answer
    x = 221,845.77

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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.