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Finding the Fourth Proportional to 537,076.40, 805,102.60 and 200,026.80

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Solution

The fourth proportional to 537,076.40, 805,102.60 and 200,026.80 is: 299,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,076.40 : 805,102.60 = 200,026.80 : x
  2. Step 2: Convert to fraction form
    537,076.40/805,102.60 = 200,026.80/x
  3. Step 3: Cross multiply
    537,076.40x = 805,102.60 × 200,026.80
  4. Step 4: Simplify right side
    537,076.40x = 161,042,096,749.68
  5. Step 5: Solve for x
    x = 161,042,096,749.68/537,076.40
  6. Step 6: Final answer
    x = 299,849.51

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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.