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Finding the Fourth Proportional to 524,003, 723,090.12 and 309,093.80

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Solution

The fourth proportional to 524,003, 723,090.12 and 309,093.80 is: 426,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,003 : 723,090.12 = 309,093.80 : x
  2. Step 2: Convert to fraction form
    524,003/723,090.12 = 309,093.80/x
  3. Step 3: Cross multiply
    524,003x = 723,090.12 × 309,093.80
  4. Step 4: Simplify right side
    524,003x = 223,502,672,933.26
  5. Step 5: Solve for x
    x = 223,502,672,933.26/524,003
  6. Step 6: Final answer
    x = 426,529.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.