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Finding the Fourth Proportional to 304,796.16, 457,216.11 and 105,113.61

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Solution

The fourth proportional to 304,796.16, 457,216.11 and 105,113.61 is: 157,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,796.16 : 457,216.11 = 105,113.61 : x
  2. Step 2: Convert to fraction form
    304,796.16/457,216.11 = 105,113.61/x
  3. Step 3: Cross multiply
    304,796.16x = 457,216.11 × 105,113.61
  4. Step 4: Simplify right side
    304,796.16x = 48,059,635,872.26
  5. Step 5: Solve for x
    x = 48,059,635,872.26/304,796.16
  6. Step 6: Final answer
    x = 157,677.96

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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.