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Finding the Fourth Proportional to 541,702.60, 746,770.50 and 380,056.84

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Solution

The fourth proportional to 541,702.60, 746,770.50 and 380,056.84 is: 523,931.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,702.60 : 746,770.50 = 380,056.84 : x
  2. Step 2: Convert to fraction form
    541,702.60/746,770.50 = 380,056.84/x
  3. Step 3: Cross multiply
    541,702.60x = 746,770.50 × 380,056.84
  4. Step 4: Simplify right side
    541,702.60x = 283,815,236,435.22
  5. Step 5: Solve for x
    x = 283,815,236,435.22/541,702.60
  6. Step 6: Final answer
    x = 523,931.83

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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.