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Finding the Fourth Proportional to 471,127.43, 706,405.75 and 211,417.41

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Solution

The fourth proportional to 471,127.43, 706,405.75 and 211,417.41 is: 316,998.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,127.43 : 706,405.75 = 211,417.41 : x
  2. Step 2: Convert to fraction form
    471,127.43/706,405.75 = 211,417.41/x
  3. Step 3: Cross multiply
    471,127.43x = 706,405.75 × 211,417.41
  4. Step 4: Simplify right side
    471,127.43x = 149,346,474,074.11
  5. Step 5: Solve for x
    x = 149,346,474,074.11/471,127.43
  6. Step 6: Final answer
    x = 316,998.04

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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.