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Finding the Fourth Proportional to 310,986.64, 429,293.97 and 209,071.21

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Solution

The fourth proportional to 310,986.64, 429,293.97 and 209,071.21 is: 288,607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,986.64 : 429,293.97 = 209,071.21 : x
  2. Step 2: Convert to fraction form
    310,986.64/429,293.97 = 209,071.21/x
  3. Step 3: Cross multiply
    310,986.64x = 429,293.97 × 209,071.21
  4. Step 4: Simplify right side
    310,986.64x = 89,753,008,865.92
  5. Step 5: Solve for x
    x = 89,753,008,865.92/310,986.64
  6. Step 6: Final answer
    x = 288,607.29

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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.