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Finding the Fourth Proportional to 475,846.44, 713,484.54 and 151,494.36

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Solution

The fourth proportional to 475,846.44, 713,484.54 and 151,494.36 is: 227,150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,846.44 : 713,484.54 = 151,494.36 : x
  2. Step 2: Convert to fraction form
    475,846.44/713,484.54 = 151,494.36/x
  3. Step 3: Cross multiply
    475,846.44x = 713,484.54 × 151,494.36
  4. Step 4: Simplify right side
    475,846.44x = 108,088,883,757.19
  5. Step 5: Solve for x
    x = 108,088,883,757.19/475,846.44
  6. Step 6: Final answer
    x = 227,150.77

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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.