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Finding the Fourth Proportional to 470,809.22, 706,524.87 and 221,510.66

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Solution

The fourth proportional to 470,809.22, 706,524.87 and 221,510.66 is: 332,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,809.22 : 706,524.87 = 221,510.66 : x
  2. Step 2: Convert to fraction form
    470,809.22/706,524.87 = 221,510.66/x
  3. Step 3: Cross multiply
    470,809.22x = 706,524.87 × 221,510.66
  4. Step 4: Simplify right side
    470,809.22x = 156,502,789,376.96
  5. Step 5: Solve for x
    x = 156,502,789,376.96/470,809.22
  6. Step 6: Final answer
    x = 332,412.33

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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.