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Finding the Fourth Proportional to 288,935.30, 398,731.74 and 161,602.76

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Solution

The fourth proportional to 288,935.30, 398,731.74 and 161,602.76 is: 223,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,935.30 : 398,731.74 = 161,602.76 : x
  2. Step 2: Convert to fraction form
    288,935.30/398,731.74 = 161,602.76/x
  3. Step 3: Cross multiply
    288,935.30x = 398,731.74 × 161,602.76
  4. Step 4: Simplify right side
    288,935.30x = 64,436,149,683.60
  5. Step 5: Solve for x
    x = 64,436,149,683.60/288,935.30
  6. Step 6: Final answer
    x = 223,012.38

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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.