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Finding the Fourth Proportional to 301,628.16, 416,247.84 and 165,662.28

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Solution

The fourth proportional to 301,628.16, 416,247.84 and 165,662.28 is: 228,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,628.16 : 416,247.84 = 165,662.28 : x
  2. Step 2: Convert to fraction form
    301,628.16/416,247.84 = 165,662.28/x
  3. Step 3: Cross multiply
    301,628.16x = 416,247.84 × 165,662.28
  4. Step 4: Simplify right side
    301,628.16x = 68,956,566,219.48
  5. Step 5: Solve for x
    x = 68,956,566,219.48/301,628.16
  6. Step 6: Final answer
    x = 228,614.48

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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.