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Finding the Fourth Proportional to 345,592, 476,941.44 and 194,689

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Solution

The fourth proportional to 345,592, 476,941.44 and 194,689 is: 268,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,592 : 476,941.44 = 194,689 : x
  2. Step 2: Convert to fraction form
    345,592/476,941.44 = 194,689/x
  3. Step 3: Cross multiply
    345,592x = 476,941.44 × 194,689
  4. Step 4: Simplify right side
    345,592x = 92,855,252,012.16
  5. Step 5: Solve for x
    x = 92,855,252,012.16/345,592
  6. Step 6: Final answer
    x = 268,684.61

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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.