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Finding the Fourth Proportional to 314,354.24, 433,808.90 and 171,114.27

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Solution

The fourth proportional to 314,354.24, 433,808.90 and 171,114.27 is: 236,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,354.24 : 433,808.90 = 171,114.27 : x
  2. Step 2: Convert to fraction form
    314,354.24/433,808.90 = 171,114.27/x
  3. Step 3: Cross multiply
    314,354.24x = 433,808.90 × 171,114.27
  4. Step 4: Simplify right side
    314,354.24x = 74,230,890,218.39
  5. Step 5: Solve for x
    x = 74,230,890,218.39/314,354.24
  6. Step 6: Final answer
    x = 236,137.71

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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.