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Finding the Fourth Proportional to 294,100.07, 405,858.40 and 166,775.76

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Solution

The fourth proportional to 294,100.07, 405,858.40 and 166,775.76 is: 230,150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,100.07 : 405,858.40 = 166,775.76 : x
  2. Step 2: Convert to fraction form
    294,100.07/405,858.40 = 166,775.76/x
  3. Step 3: Cross multiply
    294,100.07x = 405,858.40 × 166,775.76
  4. Step 4: Simplify right side
    294,100.07x = 67,687,342,695.44
  5. Step 5: Solve for x
    x = 67,687,342,695.44/294,100.07
  6. Step 6: Final answer
    x = 230,150.72

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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.