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Finding the Fourth Proportional to 470,859.58, 706,213.70 and 129,223.18

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Solution

The fourth proportional to 470,859.58, 706,213.70 and 129,223.18 is: 193,814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,859.58 : 706,213.70 = 129,223.18 : x
  2. Step 2: Convert to fraction form
    470,859.58/706,213.70 = 129,223.18/x
  3. Step 3: Cross multiply
    470,859.58x = 706,213.70 × 129,223.18
  4. Step 4: Simplify right side
    470,859.58x = 91,259,182,417.59
  5. Step 5: Solve for x
    x = 91,259,182,417.59/470,859.58
  6. Step 6: Final answer
    x = 193,814.01

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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.