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Finding the Fourth Proportional to 304,758.83, 457,168.32 and 105,052.93

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Solution

The fourth proportional to 304,758.83, 457,168.32 and 105,052.93 is: 157,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,758.83 : 457,168.32 = 105,052.93 : x
  2. Step 2: Convert to fraction form
    304,758.83/457,168.32 = 105,052.93/x
  3. Step 3: Cross multiply
    304,758.83x = 457,168.32 × 105,052.93
  4. Step 4: Simplify right side
    304,758.83x = 48,026,869,233.34
  5. Step 5: Solve for x
    x = 48,026,869,233.34/304,758.83
  6. Step 6: Final answer
    x = 157,589.75

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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.