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Finding the Fourth Proportional to 314,243.21, 433,664.76 and 171,012.49

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Solution

The fourth proportional to 314,243.21, 433,664.76 and 171,012.49 is: 236,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,243.21 : 433,664.76 = 171,012.49 : x
  2. Step 2: Convert to fraction form
    314,243.21/433,664.76 = 171,012.49/x
  3. Step 3: Cross multiply
    314,243.21x = 433,664.76 × 171,012.49
  4. Step 4: Simplify right side
    314,243.21x = 74,162,090,432.85
  5. Step 5: Solve for x
    x = 74,162,090,432.85/314,243.21
  6. Step 6: Final answer
    x = 236,002.20

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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.