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Finding the Fourth Proportional to 569,256.26, 854,024.54 and 401,105.01

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Solution

The fourth proportional to 569,256.26, 854,024.54 and 401,105.01 is: 601,756.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,256.26 : 854,024.54 = 401,105.01 : x
  2. Step 2: Convert to fraction form
    569,256.26/854,024.54 = 401,105.01/x
  3. Step 3: Cross multiply
    569,256.26x = 854,024.54 × 401,105.01
  4. Step 4: Simplify right side
    569,256.26x = 342,553,519,651.42
  5. Step 5: Solve for x
    x = 342,553,519,651.42/569,256.26
  6. Step 6: Final answer
    x = 601,756.27

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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.