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Finding the Fourth Proportional to 410,615.60, 615,923.40 and 188,999.60

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Solution

The fourth proportional to 410,615.60, 615,923.40 and 188,999.60 is: 283,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,615.60 : 615,923.40 = 188,999.60 : x
  2. Step 2: Convert to fraction form
    410,615.60/615,923.40 = 188,999.60/x
  3. Step 3: Cross multiply
    410,615.60x = 615,923.40 × 188,999.60
  4. Step 4: Simplify right side
    410,615.60x = 116,409,276,230.64
  5. Step 5: Solve for x
    x = 116,409,276,230.64/410,615.60
  6. Step 6: Final answer
    x = 283,499.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.