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Finding the Fourth Proportional to 288,833.78, 398,609.00 and 161,509.34

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Solution

The fourth proportional to 288,833.78, 398,609.00 and 161,509.34 is: 222,893.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,833.78 : 398,609.00 = 161,509.34 : x
  2. Step 2: Convert to fraction form
    288,833.78/398,609.00 = 161,509.34/x
  3. Step 3: Cross multiply
    288,833.78x = 398,609.00 × 161,509.34
  4. Step 4: Simplify right side
    288,833.78x = 64,379,073,707.47
  5. Step 5: Solve for x
    x = 64,379,073,707.47/288,833.78
  6. Step 6: Final answer
    x = 222,893.16

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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.