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Finding the Fourth Proportional to 298,992.21, 412,612.47 and 163,025.04

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Solution

The fourth proportional to 298,992.21, 412,612.47 and 163,025.04 is: 224,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,992.21 : 412,612.47 = 163,025.04 : x
  2. Step 2: Convert to fraction form
    298,992.21/412,612.47 = 163,025.04/x
  3. Step 3: Cross multiply
    298,992.21x = 412,612.47 × 163,025.04
  4. Step 4: Simplify right side
    298,992.21x = 67,266,164,426.25
  5. Step 5: Solve for x
    x = 67,266,164,426.25/298,992.21
  6. Step 6: Final answer
    x = 224,976.31

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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.