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Finding the Fourth Proportional to 461,716.80, 692,596.80 and 146,198.40

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Solution

The fourth proportional to 461,716.80, 692,596.80 and 146,198.40 is: 219,304.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,716.80 : 692,596.80 = 146,198.40 : x
  2. Step 2: Convert to fraction form
    461,716.80/692,596.80 = 146,198.40/x
  3. Step 3: Cross multiply
    461,716.80x = 692,596.80 × 146,198.40
  4. Step 4: Simplify right side
    461,716.80x = 101,256,544,005.12
  5. Step 5: Solve for x
    x = 101,256,544,005.12/461,716.80
  6. Step 6: Final answer
    x = 219,304.44

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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.