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Finding the Fourth Proportional to 294,592.32, 441,814.32 and 84,231.36

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Solution

The fourth proportional to 294,592.32, 441,814.32 and 84,231.36 is: 126,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,592.32 : 441,814.32 = 84,231.36 : x
  2. Step 2: Convert to fraction form
    294,592.32/441,814.32 = 84,231.36/x
  3. Step 3: Cross multiply
    294,592.32x = 441,814.32 × 84,231.36
  4. Step 4: Simplify right side
    294,592.32x = 37,214,621,041.08
  5. Step 5: Solve for x
    x = 37,214,621,041.08/294,592.32
  6. Step 6: Final answer
    x = 126,325.84

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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.