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Finding the Fourth Proportional to 301,905.84, 416,633.88 and 165,954.60

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Solution

The fourth proportional to 301,905.84, 416,633.88 and 165,954.60 is: 229,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,905.84 : 416,633.88 = 165,954.60 : x
  2. Step 2: Convert to fraction form
    301,905.84/416,633.88 = 165,954.60/x
  3. Step 3: Cross multiply
    301,905.84x = 416,633.88 × 165,954.60
  4. Step 4: Simplify right side
    301,905.84x = 69,142,308,901.85
  5. Step 5: Solve for x
    x = 69,142,308,901.85/301,905.84
  6. Step 6: Final answer
    x = 229,019.45

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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.