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Finding the Fourth Proportional to 301,900.63, 416,632.40 and 165,945.09

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Solution

The fourth proportional to 301,900.63, 416,632.40 and 165,945.09 is: 229,009.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,900.63 : 416,632.40 = 165,945.09 : x
  2. Step 2: Convert to fraction form
    301,900.63/416,632.40 = 165,945.09/x
  3. Step 3: Cross multiply
    301,900.63x = 416,632.40 × 165,945.09
  4. Step 4: Simplify right side
    301,900.63x = 69,138,101,114.92
  5. Step 5: Solve for x
    x = 69,138,101,114.92/301,900.63
  6. Step 6: Final answer
    x = 229,009.46

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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.