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Finding the Fourth Proportional to 288,289.68, 397,823.04 and 160,973.28

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Solution

The fourth proportional to 288,289.68, 397,823.04 and 160,973.28 is: 222,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,289.68 : 397,823.04 = 160,973.28 : x
  2. Step 2: Convert to fraction form
    288,289.68/397,823.04 = 160,973.28/x
  3. Step 3: Cross multiply
    288,289.68x = 397,823.04 × 160,973.28
  4. Step 4: Simplify right side
    288,289.68x = 64,038,879,608.37
  5. Step 5: Solve for x
    x = 64,038,879,608.37/288,289.68
  6. Step 6: Final answer
    x = 222,133.79

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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.