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Finding the Fourth Proportional to 298,570.31, 412,038.69 and 169,520.79

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Solution

The fourth proportional to 298,570.31, 412,038.69 and 169,520.79 is: 233,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,570.31 : 412,038.69 = 169,520.79 : x
  2. Step 2: Convert to fraction form
    298,570.31/412,038.69 = 169,520.79/x
  3. Step 3: Cross multiply
    298,570.31x = 412,038.69 × 169,520.79
  4. Step 4: Simplify right side
    298,570.31x = 69,849,124,466.73
  5. Step 5: Solve for x
    x = 69,849,124,466.73/298,570.31
  6. Step 6: Final answer
    x = 233,945.31

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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.