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Finding the Fourth Proportional to 299,467.90, 448,683.45 and 194,232.70

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Solution

The fourth proportional to 299,467.90, 448,683.45 and 194,232.70 is: 291,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,467.90 : 448,683.45 = 194,232.70 : x
  2. Step 2: Convert to fraction form
    299,467.90/448,683.45 = 194,232.70/x
  3. Step 3: Cross multiply
    299,467.90x = 448,683.45 × 194,232.70
  4. Step 4: Simplify right side
    299,467.90x = 87,148,997,938.82
  5. Step 5: Solve for x
    x = 87,148,997,938.82/299,467.90
  6. Step 6: Final answer
    x = 291,012.82

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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.