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Finding the Fourth Proportional to 429,463.20, 643,417.20 and 367,255.20

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Solution

The fourth proportional to 429,463.20, 643,417.20 and 367,255.20 is: 550,217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,463.20 : 643,417.20 = 367,255.20 : x
  2. Step 2: Convert to fraction form
    429,463.20/643,417.20 = 367,255.20/x
  3. Step 3: Cross multiply
    429,463.20x = 643,417.20 × 367,255.20
  4. Step 4: Simplify right side
    429,463.20x = 236,298,312,469.44
  5. Step 5: Solve for x
    x = 236,298,312,469.44/429,463.20
  6. Step 6: Final answer
    x = 550,217.84

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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.