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Finding the Fourth Proportional to 313,487.43, 432,745.01 and 211,650.76

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Solution

The fourth proportional to 313,487.43, 432,745.01 and 211,650.76 is: 292,167.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,487.43 : 432,745.01 = 211,650.76 : x
  2. Step 2: Convert to fraction form
    313,487.43/432,745.01 = 211,650.76/x
  3. Step 3: Cross multiply
    313,487.43x = 432,745.01 × 211,650.76
  4. Step 4: Simplify right side
    313,487.43x = 91,590,810,252.71
  5. Step 5: Solve for x
    x = 91,590,810,252.71/313,487.43
  6. Step 6: Final answer
    x = 292,167.41

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1.5x scale

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.