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Finding the Fourth Proportional to 288,038.16, 397,429.02 and 167,109.36

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Solution

The fourth proportional to 288,038.16, 397,429.02 and 167,109.36 is: 230,573.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,038.16 : 397,429.02 = 167,109.36 : x
  2. Step 2: Convert to fraction form
    288,038.16/397,429.02 = 167,109.36/x
  3. Step 3: Cross multiply
    288,038.16x = 397,429.02 × 167,109.36
  4. Step 4: Simplify right side
    288,038.16x = 66,414,109,177.63
  5. Step 5: Solve for x
    x = 66,414,109,177.63/288,038.16
  6. Step 6: Final answer
    x = 230,573.99

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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.