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Finding the Fourth Proportional to 301,526.56, 416,112.60 and 165,559.32

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Solution

The fourth proportional to 301,526.56, 416,112.60 and 165,559.32 is: 228,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,526.56 : 416,112.60 = 165,559.32 : x
  2. Step 2: Convert to fraction form
    301,526.56/416,112.60 = 165,559.32/x
  3. Step 3: Cross multiply
    301,526.56x = 416,112.60 × 165,559.32
  4. Step 4: Simplify right side
    301,526.56x = 68,891,319,099.43
  5. Step 5: Solve for x
    x = 68,891,319,099.43/301,526.56
  6. Step 6: Final answer
    x = 228,475.13

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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.