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Finding the Fourth Proportional to 471,004.53, 706,514.89 and 134,053.84

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Solution

The fourth proportional to 471,004.53, 706,514.89 and 134,053.84 is: 201,083.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,004.53 : 706,514.89 = 134,053.84 : x
  2. Step 2: Convert to fraction form
    471,004.53/706,514.89 = 134,053.84/x
  3. Step 3: Cross multiply
    471,004.53x = 706,514.89 × 134,053.84
  4. Step 4: Simplify right side
    471,004.53x = 94,711,034,021.68
  5. Step 5: Solve for x
    x = 94,711,034,021.68/471,004.53
  6. Step 6: Final answer
    x = 201,083.06

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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.