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Finding the Fourth Proportional to 321,014.64, 442,881.24 and 207,899.76

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Solution

The fourth proportional to 321,014.64, 442,881.24 and 207,899.76 is: 286,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,014.64 : 442,881.24 = 207,899.76 : x
  2. Step 2: Convert to fraction form
    321,014.64/442,881.24 = 207,899.76/x
  3. Step 3: Cross multiply
    321,014.64x = 442,881.24 × 207,899.76
  4. Step 4: Simplify right side
    321,014.64x = 92,074,903,504.50
  5. Step 5: Solve for x
    x = 92,074,903,504.50/321,014.64
  6. Step 6: Final answer
    x = 286,824.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.