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Finding the Fourth Proportional to 309,703.36, 464,443.56 and 107,244.64

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Solution

The fourth proportional to 309,703.36, 464,443.56 and 107,244.64 is: 160,828.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,703.36 : 464,443.56 = 107,244.64 : x
  2. Step 2: Convert to fraction form
    309,703.36/464,443.56 = 107,244.64/x
  3. Step 3: Cross multiply
    309,703.36x = 464,443.56 × 107,244.64
  4. Step 4: Simplify right side
    309,703.36x = 49,809,082,392.52
  5. Step 5: Solve for x
    x = 49,809,082,392.52/309,703.36
  6. Step 6: Final answer
    x = 160,828.36

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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.