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Finding the Fourth Proportional to 296,235.40, 408,807.78 and 160,272.27

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Solution

The fourth proportional to 296,235.40, 408,807.78 and 160,272.27 is: 221,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,235.40 : 408,807.78 = 160,272.27 : x
  2. Step 2: Convert to fraction form
    296,235.40/408,807.78 = 160,272.27/x
  3. Step 3: Cross multiply
    296,235.40x = 408,807.78 × 160,272.27
  4. Step 4: Simplify right side
    296,235.40x = 65,520,551,645.54
  5. Step 5: Solve for x
    x = 65,520,551,645.54/296,235.40
  6. Step 6: Final answer
    x = 221,177.32

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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.