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Finding the Fourth Proportional to 533,853.40, 800,780.10 and 467,368.60

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Solution

The fourth proportional to 533,853.40, 800,780.10 and 467,368.60 is: 701,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,853.40 : 800,780.10 = 467,368.60 : x
  2. Step 2: Convert to fraction form
    533,853.40/800,780.10 = 467,368.60/x
  3. Step 3: Cross multiply
    533,853.40x = 800,780.10 × 467,368.60
  4. Step 4: Simplify right side
    533,853.40x = 374,259,474,244.86
  5. Step 5: Solve for x
    x = 374,259,474,244.86/533,853.40
  6. Step 6: Final answer
    x = 701,052.90

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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.