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Finding the Fourth Proportional to 533,368.40, 800,974.20 and 284,536.40

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Solution

The fourth proportional to 533,368.40, 800,974.20 and 284,536.40 is: 427,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,368.40 : 800,974.20 = 284,536.40 : x
  2. Step 2: Convert to fraction form
    533,368.40/800,974.20 = 284,536.40/x
  3. Step 3: Cross multiply
    533,368.40x = 800,974.20 × 284,536.40
  4. Step 4: Simplify right side
    533,368.40x = 227,906,315,360.88
  5. Step 5: Solve for x
    x = 227,906,315,360.88/533,368.40
  6. Step 6: Final answer
    x = 427,296.25

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1.5x scale

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.