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Finding the Fourth Proportional to 405,455.99, 607,593.50 and 194,847.89

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Solution

The fourth proportional to 405,455.99, 607,593.50 and 194,847.89 is: 291,988.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,455.99 : 607,593.50 = 194,847.89 : x
  2. Step 2: Convert to fraction form
    405,455.99/607,593.50 = 194,847.89/x
  3. Step 3: Cross multiply
    405,455.99x = 607,593.50 × 194,847.89
  4. Step 4: Simplify right side
    405,455.99x = 118,388,311,452.72
  5. Step 5: Solve for x
    x = 118,388,311,452.72/405,455.99
  6. Step 6: Final answer
    x = 291,988.07

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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.