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Finding the Fourth Proportional to 304,761.22, 457,171.90 and 105,055.32

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Solution

The fourth proportional to 304,761.22, 457,171.90 and 105,055.32 is: 157,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,761.22 : 457,171.90 = 105,055.32 : x
  2. Step 2: Convert to fraction form
    304,761.22/457,171.90 = 105,055.32/x
  3. Step 3: Cross multiply
    304,761.22x = 457,171.90 × 105,055.32
  4. Step 4: Simplify right side
    304,761.22x = 48,028,340,249.51
  5. Step 5: Solve for x
    x = 48,028,340,249.51/304,761.22
  6. Step 6: Final answer
    x = 157,593.35

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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.