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Finding the Fourth Proportional to 301,698.90, 416,347.20 and 165,735.60

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Solution

The fourth proportional to 301,698.90, 416,347.20 and 165,735.60 is: 228,716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,698.90 : 416,347.20 = 165,735.60 : x
  2. Step 2: Convert to fraction form
    301,698.90/416,347.20 = 165,735.60/x
  3. Step 3: Cross multiply
    301,698.90x = 416,347.20 × 165,735.60
  4. Step 4: Simplify right side
    301,698.90x = 69,003,553,000.32
  5. Step 5: Solve for x
    x = 69,003,553,000.32/301,698.90
  6. Step 6: Final answer
    x = 228,716.62

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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.