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Finding the Fourth Proportional to 301,490, 416,056.20 and 167,366.48

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Solution

The fourth proportional to 301,490, 416,056.20 and 167,366.48 is: 230,965.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,490 : 416,056.20 = 167,366.48 : x
  2. Step 2: Convert to fraction form
    301,490/416,056.20 = 167,366.48/x
  3. Step 3: Cross multiply
    301,490x = 416,056.20 × 167,366.48
  4. Step 4: Simplify right side
    301,490x = 69,633,861,676.18
  5. Step 5: Solve for x
    x = 69,633,861,676.18/301,490
  6. Step 6: Final answer
    x = 230,965.74

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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.