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Finding the Fourth Proportional to 298,039.32, 411,286.06 and 163,903.32

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Solution

The fourth proportional to 298,039.32, 411,286.06 and 163,903.32 is: 226,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,039.32 : 411,286.06 = 163,903.32 : x
  2. Step 2: Convert to fraction form
    298,039.32/411,286.06 = 163,903.32/x
  3. Step 3: Cross multiply
    298,039.32x = 411,286.06 × 163,903.32
  4. Step 4: Simplify right side
    298,039.32x = 67,411,150,703.72
  5. Step 5: Solve for x
    x = 67,411,150,703.72/298,039.32
  6. Step 6: Final answer
    x = 226,182.07

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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.