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Finding the Fourth Proportional to 334,436.46, 461,491.88 and 198,447

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Solution

The fourth proportional to 334,436.46, 461,491.88 and 198,447 is: 273,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,436.46 : 461,491.88 = 198,447 : x
  2. Step 2: Convert to fraction form
    334,436.46/461,491.88 = 198,447/x
  3. Step 3: Cross multiply
    334,436.46x = 461,491.88 × 198,447
  4. Step 4: Simplify right side
    334,436.46x = 91,581,678,118.13
  5. Step 5: Solve for x
    x = 91,581,678,118.13/334,436.46
  6. Step 6: Final answer
    x = 273,838.80

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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.