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Finding the Fourth Proportional to 313,840, 470,967.36 and 147,640.96

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Solution

The fourth proportional to 313,840, 470,967.36 and 147,640.96 is: 221,558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,840 : 470,967.36 = 147,640.96 : x
  2. Step 2: Convert to fraction form
    313,840/470,967.36 = 147,640.96/x
  3. Step 3: Cross multiply
    313,840x = 470,967.36 × 147,640.96
  4. Step 4: Simplify right side
    313,840x = 69,534,073,159.07
  5. Step 5: Solve for x
    x = 69,534,073,159.07/313,840
  6. Step 6: Final answer
    x = 221,558.99

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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.