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Finding the Fourth Proportional to 298,016.32, 411,254.40 and 163,880.32

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Solution

The fourth proportional to 298,016.32, 411,254.40 and 163,880.32 is: 226,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,016.32 : 411,254.40 = 163,880.32 : x
  2. Step 2: Convert to fraction form
    298,016.32/411,254.40 = 163,880.32/x
  3. Step 3: Cross multiply
    298,016.32x = 411,254.40 × 163,880.32
  4. Step 4: Simplify right side
    298,016.32x = 67,396,502,673.41
  5. Step 5: Solve for x
    x = 67,396,502,673.41/298,016.32
  6. Step 6: Final answer
    x = 226,150.38

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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.