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Finding the Fourth Proportional to 294,074.40, 405,896.72 and 166,826.40

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Solution

The fourth proportional to 294,074.40, 405,896.72 and 166,826.40 is: 230,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,074.40 : 405,896.72 = 166,826.40 : x
  2. Step 2: Convert to fraction form
    294,074.40/405,896.72 = 166,826.40/x
  3. Step 3: Cross multiply
    294,074.40x = 405,896.72 × 166,826.40
  4. Step 4: Simplify right side
    294,074.40x = 67,714,288,569.41
  5. Step 5: Solve for x
    x = 67,714,288,569.41/294,074.40
  6. Step 6: Final answer
    x = 230,262.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.