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Finding the Fourth Proportional to 471,969.05, 711,511.43 and 441,526.01

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Solution

The fourth proportional to 471,969.05, 711,511.43 and 441,526.01 is: 665,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,969.05 : 711,511.43 = 441,526.01 : x
  2. Step 2: Convert to fraction form
    471,969.05/711,511.43 = 441,526.01/x
  3. Step 3: Cross multiply
    471,969.05x = 711,511.43 × 441,526.01
  4. Step 4: Simplify right side
    471,969.05x = 314,150,796,992.11
  5. Step 5: Solve for x
    x = 314,150,796,992.11/471,969.05
  6. Step 6: Final answer
    x = 665,617.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.