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Finding the Fourth Proportional to 301,505.53, 416,078.46 and 165,548.28

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Solution

The fourth proportional to 301,505.53, 416,078.46 and 165,548.28 is: 228,457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,505.53 : 416,078.46 = 165,548.28 : x
  2. Step 2: Convert to fraction form
    301,505.53/416,078.46 = 165,548.28/x
  3. Step 3: Cross multiply
    301,505.53x = 416,078.46 × 165,548.28
  4. Step 4: Simplify right side
    301,505.53x = 68,881,073,398.05
  5. Step 5: Solve for x
    x = 68,881,073,398.05/301,505.53
  6. Step 6: Final answer
    x = 228,457.08

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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.