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Finding the Fourth Proportional to 470,825.48, 706,131.72 and 133,858.64

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Solution

The fourth proportional to 470,825.48, 706,131.72 and 133,858.64 is: 200,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,825.48 : 706,131.72 = 133,858.64 : x
  2. Step 2: Convert to fraction form
    470,825.48/706,131.72 = 133,858.64/x
  3. Step 3: Cross multiply
    470,825.48x = 706,131.72 × 133,858.64
  4. Step 4: Simplify right side
    470,825.48x = 94,521,831,700.06
  5. Step 5: Solve for x
    x = 94,521,831,700.06/470,825.48
  6. Step 6: Final answer
    x = 200,757.68

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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.