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Finding the Fourth Proportional to 429,171.32, 643,756.96 and 228,884.92

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Solution

The fourth proportional to 429,171.32, 643,756.96 and 228,884.92 is: 343,327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,171.32 : 643,756.96 = 228,884.92 : x
  2. Step 2: Convert to fraction form
    429,171.32/643,756.96 = 228,884.92/x
  3. Step 3: Cross multiply
    429,171.32x = 643,756.96 × 228,884.92
  4. Step 4: Simplify right side
    429,171.32x = 147,346,260,289.04
  5. Step 5: Solve for x
    x = 147,346,260,289.04/429,171.32
  6. Step 6: Final answer
    x = 343,327.37

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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.