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Finding the Fourth Proportional to 470,713.04, 706,380.60 and 221,414.48

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Solution

The fourth proportional to 470,713.04, 706,380.60 and 221,414.48 is: 332,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,713.04 : 706,380.60 = 221,414.48 : x
  2. Step 2: Convert to fraction form
    470,713.04/706,380.60 = 221,414.48/x
  3. Step 3: Cross multiply
    470,713.04x = 706,380.60 × 221,414.48
  4. Step 4: Simplify right side
    470,713.04x = 156,402,893,231.09
  5. Step 5: Solve for x
    x = 156,402,893,231.09/470,713.04
  6. Step 6: Final answer
    x = 332,268.03

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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.