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Finding the Fourth Proportional to 293,544.96, 440,178.64 and 113,714.61

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Solution

The fourth proportional to 293,544.96, 440,178.64 and 113,714.61 is: 170,518.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,544.96 : 440,178.64 = 113,714.61 : x
  2. Step 2: Convert to fraction form
    293,544.96/440,178.64 = 113,714.61/x
  3. Step 3: Cross multiply
    293,544.96x = 440,178.64 × 113,714.61
  4. Step 4: Simplify right side
    293,544.96x = 50,054,742,377.93
  5. Step 5: Solve for x
    x = 50,054,742,377.93/293,544.96
  6. Step 6: Final answer
    x = 170,518.15

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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.