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Finding the Fourth Proportional to 291,541.09, 402,189.24 and 170,608.24

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Solution

The fourth proportional to 291,541.09, 402,189.24 and 170,608.24 is: 235,358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,541.09 : 402,189.24 = 170,608.24 : x
  2. Step 2: Convert to fraction form
    291,541.09/402,189.24 = 170,608.24/x
  3. Step 3: Cross multiply
    291,541.09x = 402,189.24 × 170,608.24
  4. Step 4: Simplify right side
    291,541.09x = 68,616,798,383.34
  5. Step 5: Solve for x
    x = 68,616,798,383.34/291,541.09
  6. Step 6: Final answer
    x = 235,358.93

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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.