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Finding the Fourth Proportional to 469,605.88, 704,102.44 and 309,196.32

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Solution

The fourth proportional to 469,605.88, 704,102.44 and 309,196.32 is: 463,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,605.88 : 704,102.44 = 309,196.32 : x
  2. Step 2: Convert to fraction form
    469,605.88/704,102.44 = 309,196.32/x
  3. Step 3: Cross multiply
    469,605.88x = 704,102.44 × 309,196.32
  4. Step 4: Simplify right side
    469,605.88x = 217,705,883,351.02
  5. Step 5: Solve for x
    x = 217,705,883,351.02/469,605.88
  6. Step 6: Final answer
    x = 463,592.75

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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.