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Finding the Fourth Proportional to 299,004.64, 412,621.14 and 163,039.66

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Solution

The fourth proportional to 299,004.64, 412,621.14 and 163,039.66 is: 224,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,004.64 : 412,621.14 = 163,039.66 : x
  2. Step 2: Convert to fraction form
    299,004.64/412,621.14 = 163,039.66/x
  3. Step 3: Cross multiply
    299,004.64x = 412,621.14 × 163,039.66
  4. Step 4: Simplify right side
    299,004.64x = 67,273,610,374.41
  5. Step 5: Solve for x
    x = 67,273,610,374.41/299,004.64
  6. Step 6: Final answer
    x = 224,991.86

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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.