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Finding the Fourth Proportional to 400,598.10, 601,133.94 and 148,056.84

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Solution

The fourth proportional to 400,598.10, 601,133.94 and 148,056.84 is: 222,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,598.10 : 601,133.94 = 148,056.84 : x
  2. Step 2: Convert to fraction form
    400,598.10/601,133.94 = 148,056.84/x
  3. Step 3: Cross multiply
    400,598.10x = 601,133.94 × 148,056.84
  4. Step 4: Simplify right side
    400,598.10x = 89,001,991,573.15
  5. Step 5: Solve for x
    x = 89,001,991,573.15/400,598.10
  6. Step 6: Final answer
    x = 222,172.78

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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.