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Finding the Fourth Proportional to 470,811, 706,527.54 and 221,512.44

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Solution

The fourth proportional to 470,811, 706,527.54 and 221,512.44 is: 332,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,811 : 706,527.54 = 221,512.44 : x
  2. Step 2: Convert to fraction form
    470,811/706,527.54 = 221,512.44/x
  3. Step 3: Cross multiply
    470,811x = 706,527.54 × 221,512.44
  4. Step 4: Simplify right side
    470,811x = 156,504,639,312.60
  5. Step 5: Solve for x
    x = 156,504,639,312.60/470,811
  6. Step 6: Final answer
    x = 332,415.00

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Why These Related Problems?

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