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Finding the Fourth Proportional to 301,761.10, 416,423.62 and 163,936.46

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Solution

The fourth proportional to 301,761.10, 416,423.62 and 163,936.46 is: 226,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,761.10 : 416,423.62 = 163,936.46 : x
  2. Step 2: Convert to fraction form
    301,761.10/416,423.62 = 163,936.46/x
  3. Step 3: Cross multiply
    301,761.10x = 416,423.62 × 163,936.46
  4. Step 4: Simplify right side
    301,761.10x = 68,267,014,123.19
  5. Step 5: Solve for x
    x = 68,267,014,123.19/301,761.10
  6. Step 6: Final answer
    x = 226,228.68

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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.