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Finding the Fourth Proportional to 294,930.72, 407,004.60 and 160,794.72

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Solution

The fourth proportional to 294,930.72, 407,004.60 and 160,794.72 is: 221,896.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,930.72 : 407,004.60 = 160,794.72 : x
  2. Step 2: Convert to fraction form
    294,930.72/407,004.60 = 160,794.72/x
  3. Step 3: Cross multiply
    294,930.72x = 407,004.60 × 160,794.72
  4. Step 4: Simplify right side
    294,930.72x = 65,444,190,695.71
  5. Step 5: Solve for x
    x = 65,444,190,695.71/294,930.72
  6. Step 6: Final answer
    x = 221,896.83

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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.