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Finding the Fourth Proportional to 301,697.64, 416,322.72 and 165,705.12

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Solution

The fourth proportional to 301,697.64, 416,322.72 and 165,705.12 is: 228,662.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,697.64 : 416,322.72 = 165,705.12 : x
  2. Step 2: Convert to fraction form
    301,697.64/416,322.72 = 165,705.12/x
  3. Step 3: Cross multiply
    301,697.64x = 416,322.72 × 165,705.12
  4. Step 4: Simplify right side
    301,697.64x = 68,986,806,276.33
  5. Step 5: Solve for x
    x = 68,986,806,276.33/301,697.64
  6. Step 6: Final answer
    x = 228,662.07

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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.