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Finding the Fourth Proportional to 295,729.60, 408,106.40 and 168,405.24

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Solution

The fourth proportional to 295,729.60, 408,106.40 and 168,405.24 is: 232,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,729.60 : 408,106.40 = 168,405.24 : x
  2. Step 2: Convert to fraction form
    295,729.60/408,106.40 = 168,405.24/x
  3. Step 3: Cross multiply
    295,729.60x = 408,106.40 × 168,405.24
  4. Step 4: Simplify right side
    295,729.60x = 68,727,256,237.54
  5. Step 5: Solve for x
    x = 68,727,256,237.54/295,729.60
  6. Step 6: Final answer
    x = 232,398.98

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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.