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Finding the Fourth Proportional to 643,841.98, 965,772.12 and 194,566.60

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Solution

The fourth proportional to 643,841.98, 965,772.12 and 194,566.60 is: 291,852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,841.98 : 965,772.12 = 194,566.60 : x
  2. Step 2: Convert to fraction form
    643,841.98/965,772.12 = 194,566.60/x
  3. Step 3: Cross multiply
    643,841.98x = 965,772.12 × 194,566.60
  4. Step 4: Simplify right side
    643,841.98x = 187,906,997,763.19
  5. Step 5: Solve for x
    x = 187,906,997,763.19/643,841.98
  6. Step 6: Final answer
    x = 291,852.67

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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.