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Finding the Fourth Proportional to 325,216.64, 487,824.95 and 214,382.72

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Solution

The fourth proportional to 325,216.64, 487,824.95 and 214,382.72 is: 321,574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,216.64 : 487,824.95 = 214,382.72 : x
  2. Step 2: Convert to fraction form
    325,216.64/487,824.95 = 214,382.72/x
  3. Step 3: Cross multiply
    325,216.64x = 487,824.95 × 214,382.72
  4. Step 4: Simplify right side
    325,216.64x = 104,581,237,761.70
  5. Step 5: Solve for x
    x = 104,581,237,761.70/325,216.64
  6. Step 6: Final answer
    x = 321,574.07

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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.