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Finding the Fourth Proportional to 469,716.64, 704,566.71 and 325,489.46

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Solution

The fourth proportional to 469,716.64, 704,566.71 and 325,489.46 is: 488,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,716.64 : 704,566.71 = 325,489.46 : x
  2. Step 2: Convert to fraction form
    469,716.64/704,566.71 = 325,489.46/x
  3. Step 3: Cross multiply
    469,716.64x = 704,566.71 × 325,489.46
  4. Step 4: Simplify right side
    469,716.64x = 229,329,034,449.04
  5. Step 5: Solve for x
    x = 229,329,034,449.04/469,716.64
  6. Step 6: Final answer
    x = 488,228.47

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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.