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Finding the Fourth Proportional to 296,459.02, 444,629.40 and 106,914.16

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Solution

The fourth proportional to 296,459.02, 444,629.40 and 106,914.16 is: 160,349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,459.02 : 444,629.40 = 106,914.16 : x
  2. Step 2: Convert to fraction form
    296,459.02/444,629.40 = 106,914.16/x
  3. Step 3: Cross multiply
    296,459.02x = 444,629.40 × 106,914.16
  4. Step 4: Simplify right side
    296,459.02x = 47,537,178,812.30
  5. Step 5: Solve for x
    x = 47,537,178,812.30/296,459.02
  6. Step 6: Final answer
    x = 160,349.92

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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.