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Finding the Fourth Proportional to 309,563.36, 464,249.24 and 149,539.89

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Solution

The fourth proportional to 309,563.36, 464,249.24 and 149,539.89 is: 224,263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,563.36 : 464,249.24 = 149,539.89 : x
  2. Step 2: Convert to fraction form
    309,563.36/464,249.24 = 149,539.89/x
  3. Step 3: Cross multiply
    309,563.36x = 464,249.24 × 149,539.89
  4. Step 4: Simplify right side
    309,563.36x = 69,423,779,534.48
  5. Step 5: Solve for x
    x = 69,423,779,534.48/309,563.36
  6. Step 6: Final answer
    x = 224,263.56

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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.