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Finding the Fourth Proportional to 289,104.32, 398,980.68 and 161,778.80

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Solution

The fourth proportional to 289,104.32, 398,980.68 and 161,778.80 is: 223,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,104.32 : 398,980.68 = 161,778.80 : x
  2. Step 2: Convert to fraction form
    289,104.32/398,980.68 = 161,778.80/x
  3. Step 3: Cross multiply
    289,104.32x = 398,980.68 × 161,778.80
  4. Step 4: Simplify right side
    289,104.32x = 64,546,615,633.58
  5. Step 5: Solve for x
    x = 64,546,615,633.58/289,104.32
  6. Step 6: Final answer
    x = 223,264.10

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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.