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Finding the Fourth Proportional to 304,406.36, 456,604.75 and 104,728.48

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Solution

The fourth proportional to 304,406.36, 456,604.75 and 104,728.48 is: 157,091.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,406.36 : 456,604.75 = 104,728.48 : x
  2. Step 2: Convert to fraction form
    304,406.36/456,604.75 = 104,728.48/x
  3. Step 3: Cross multiply
    304,406.36x = 456,604.75 × 104,728.48
  4. Step 4: Simplify right side
    304,406.36x = 47,819,520,417.68
  5. Step 5: Solve for x
    x = 47,819,520,417.68/304,406.36
  6. Step 6: Final answer
    x = 157,091.07

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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.