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Finding the Fourth Proportional to 385,764.35, 533,370.65 and 337,880.32

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Solution

The fourth proportional to 385,764.35, 533,370.65 and 337,880.32 is: 467,164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,764.35 : 533,370.65 = 337,880.32 : x
  2. Step 2: Convert to fraction form
    385,764.35/533,370.65 = 337,880.32/x
  3. Step 3: Cross multiply
    385,764.35x = 533,370.65 × 337,880.32
  4. Step 4: Simplify right side
    385,764.35x = 180,215,441,544.35
  5. Step 5: Solve for x
    x = 180,215,441,544.35/385,764.35
  6. Step 6: Final answer
    x = 467,164.59

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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.