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Finding the Fourth Proportional to 419,368.54, 628,560.06 and 194,253.34

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Solution

The fourth proportional to 419,368.54, 628,560.06 and 194,253.34 is: 291,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,368.54 : 628,560.06 = 194,253.34 : x
  2. Step 2: Convert to fraction form
    419,368.54/628,560.06 = 194,253.34/x
  3. Step 3: Cross multiply
    419,368.54x = 628,560.06 × 194,253.34
  4. Step 4: Simplify right side
    419,368.54x = 122,099,891,045.60
  5. Step 5: Solve for x
    x = 122,099,891,045.60/419,368.54
  6. Step 6: Final answer
    x = 291,151.77

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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.