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Finding the Fourth Proportional to 441,063.84, 661,706.64 and 141,571.20

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Solution

The fourth proportional to 441,063.84, 661,706.64 and 141,571.20 is: 212,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,063.84 : 661,706.64 = 141,571.20 : x
  2. Step 2: Convert to fraction form
    441,063.84/661,706.64 = 141,571.20/x
  3. Step 3: Cross multiply
    441,063.84x = 661,706.64 × 141,571.20
  4. Step 4: Simplify right side
    441,063.84x = 93,678,603,072.77
  5. Step 5: Solve for x
    x = 93,678,603,072.77/441,063.84
  6. Step 6: Final answer
    x = 212,392.39

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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.