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Finding the Fourth Proportional to 471,536.56, 706,908.11 and 205,096.40

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Solution

The fourth proportional to 471,536.56, 706,908.11 and 205,096.40 is: 307,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,536.56 : 706,908.11 = 205,096.40 : x
  2. Step 2: Convert to fraction form
    471,536.56/706,908.11 = 205,096.40/x
  3. Step 3: Cross multiply
    471,536.56x = 706,908.11 × 205,096.40
  4. Step 4: Simplify right side
    471,536.56x = 144,984,311,712.71
  5. Step 5: Solve for x
    x = 144,984,311,712.71/471,536.56
  6. Step 6: Final answer
    x = 307,472.05

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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.