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Finding the Fourth Proportional to 301,904.80, 416,638.60 and 165,943.60

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Solution

The fourth proportional to 301,904.80, 416,638.60 and 165,943.60 is: 229,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,904.80 : 416,638.60 = 165,943.60 : x
  2. Step 2: Convert to fraction form
    301,904.80/416,638.60 = 165,943.60/x
  3. Step 3: Cross multiply
    301,904.80x = 416,638.60 × 165,943.60
  4. Step 4: Simplify right side
    301,904.80x = 69,138,509,182.96
  5. Step 5: Solve for x
    x = 69,138,509,182.96/301,904.80
  6. Step 6: Final answer
    x = 229,007.65

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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.