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Finding the Fourth Proportional to 469,607.88, 704,105.44 and 309,198.32

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Solution

The fourth proportional to 469,607.88, 704,105.44 and 309,198.32 is: 463,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,607.88 : 704,105.44 = 309,198.32 : x
  2. Step 2: Convert to fraction form
    469,607.88/704,105.44 = 309,198.32/x
  3. Step 3: Cross multiply
    469,607.88x = 704,105.44 × 309,198.32
  4. Step 4: Simplify right side
    469,607.88x = 217,708,219,150.86
  5. Step 5: Solve for x
    x = 217,708,219,150.86/469,607.88
  6. Step 6: Final answer
    x = 463,595.75

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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.