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Finding the Fourth Proportional to 297,569.52, 410,644.62 and 161,602.40

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Solution

The fourth proportional to 297,569.52, 410,644.62 and 161,602.40 is: 223,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,569.52 : 410,644.62 = 161,602.40 : x
  2. Step 2: Convert to fraction form
    297,569.52/410,644.62 = 161,602.40/x
  3. Step 3: Cross multiply
    297,569.52x = 410,644.62 × 161,602.40
  4. Step 4: Simplify right side
    297,569.52x = 66,361,156,139.09
  5. Step 5: Solve for x
    x = 66,361,156,139.09/297,569.52
  6. Step 6: Final answer
    x = 223,010.60

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Why These Related Problems?

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