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Finding the Fourth Proportional to 377,302.42, 565,816.68 and 206,650.90

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Solution

The fourth proportional to 377,302.42, 565,816.68 and 206,650.90 is: 309,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,302.42 : 565,816.68 = 206,650.90 : x
  2. Step 2: Convert to fraction form
    377,302.42/565,816.68 = 206,650.90/x
  3. Step 3: Cross multiply
    377,302.42x = 565,816.68 × 206,650.90
  4. Step 4: Simplify right side
    377,302.42x = 116,926,526,157.01
  5. Step 5: Solve for x
    x = 116,926,526,157.01/377,302.42
  6. Step 6: Final answer
    x = 309,901.34

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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.