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Finding the Fourth Proportional to 471,301.83, 706,846.23 and 134,335.22

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Solution

The fourth proportional to 471,301.83, 706,846.23 and 134,335.22 is: 201,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,301.83 : 706,846.23 = 134,335.22 : x
  2. Step 2: Convert to fraction form
    471,301.83/706,846.23 = 134,335.22/x
  3. Step 3: Cross multiply
    471,301.83x = 706,846.23 × 134,335.22
  4. Step 4: Simplify right side
    471,301.83x = 94,954,343,813.22
  5. Step 5: Solve for x
    x = 94,954,343,813.22/471,301.83
  6. Step 6: Final answer
    x = 201,472.47

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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.