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Finding the Fourth Proportional to 384,849.40, 577,029.57 and 337,559.44

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Solution

The fourth proportional to 384,849.40, 577,029.57 and 337,559.44 is: 506,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,849.40 : 577,029.57 = 337,559.44 : x
  2. Step 2: Convert to fraction form
    384,849.40/577,029.57 = 337,559.44/x
  3. Step 3: Cross multiply
    384,849.40x = 577,029.57 × 337,559.44
  4. Step 4: Simplify right side
    384,849.40x = 194,781,778,512.64
  5. Step 5: Solve for x
    x = 194,781,778,512.64/384,849.40
  6. Step 6: Final answer
    x = 506,124.68

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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.