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Finding the Fourth Proportional to 301,886.84, 416,608.16 and 165,933.36

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Solution

The fourth proportional to 301,886.84, 416,608.16 and 165,933.36 is: 228,990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,886.84 : 416,608.16 = 165,933.36 : x
  2. Step 2: Convert to fraction form
    301,886.84/416,608.16 = 165,933.36/x
  3. Step 3: Cross multiply
    301,886.84x = 416,608.16 × 165,933.36
  4. Step 4: Simplify right side
    301,886.84x = 69,129,190,962.55
  5. Step 5: Solve for x
    x = 69,129,190,962.55/301,886.84
  6. Step 6: Final answer
    x = 228,990.41

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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.