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Finding the Fourth Proportional to 471,265.32, 706,977.36 and 218,443.32

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Solution

The fourth proportional to 471,265.32, 706,977.36 and 218,443.32 is: 327,701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,265.32 : 706,977.36 = 218,443.32 : x
  2. Step 2: Convert to fraction form
    471,265.32/706,977.36 = 218,443.32/x
  3. Step 3: Cross multiply
    471,265.32x = 706,977.36 × 218,443.32
  4. Step 4: Simplify right side
    471,265.32x = 154,434,481,683.24
  5. Step 5: Solve for x
    x = 154,434,481,683.24/471,265.32
  6. Step 6: Final answer
    x = 327,701.77

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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.