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Finding the Fourth Proportional to 301,945.15, 416,689.48 and 165,984.83

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Solution

The fourth proportional to 301,945.15, 416,689.48 and 165,984.83 is: 229,061.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,945.15 : 416,689.48 = 165,984.83 : x
  2. Step 2: Convert to fraction form
    301,945.15/416,689.48 = 165,984.83/x
  3. Step 3: Cross multiply
    301,945.15x = 416,689.48 × 165,984.83
  4. Step 4: Simplify right side
    301,945.15x = 69,164,130,417.14
  5. Step 5: Solve for x
    x = 69,164,130,417.14/301,945.15
  6. Step 6: Final answer
    x = 229,061.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.