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Finding the Fourth Proportional to 313,728.40, 470,592.60 and 166,272.40

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Solution

The fourth proportional to 313,728.40, 470,592.60 and 166,272.40 is: 249,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,728.40 : 470,592.60 = 166,272.40 : x
  2. Step 2: Convert to fraction form
    313,728.40/470,592.60 = 166,272.40/x
  3. Step 3: Cross multiply
    313,728.40x = 470,592.60 × 166,272.40
  4. Step 4: Simplify right side
    313,728.40x = 78,246,561,024.24
  5. Step 5: Solve for x
    x = 78,246,561,024.24/313,728.40
  6. Step 6: Final answer
    x = 249,408.60

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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.