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Finding the Fourth Proportional to 533,337.40, 800,927.70 and 284,505.40

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Solution

The fourth proportional to 533,337.40, 800,927.70 and 284,505.40 is: 427,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,337.40 : 800,927.70 = 284,505.40 : x
  2. Step 2: Convert to fraction form
    533,337.40/800,927.70 = 284,505.40/x
  3. Step 3: Cross multiply
    533,337.40x = 800,927.70 × 284,505.40
  4. Step 4: Simplify right side
    533,337.40x = 227,868,255,659.58
  5. Step 5: Solve for x
    x = 227,868,255,659.58/533,337.40
  6. Step 6: Final answer
    x = 427,249.72

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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.