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Finding the Fourth Proportional to 533,477.40, 800,216.10 and 384,761.40

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Solution

The fourth proportional to 533,477.40, 800,216.10 and 384,761.40 is: 577,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,477.40 : 800,216.10 = 384,761.40 : x
  2. Step 2: Convert to fraction form
    533,477.40/800,216.10 = 384,761.40/x
  3. Step 3: Cross multiply
    533,477.40x = 800,216.10 × 384,761.40
  4. Step 4: Simplify right side
    533,477.40x = 307,892,266,938.54
  5. Step 5: Solve for x
    x = 307,892,266,938.54/533,477.40
  6. Step 6: Final answer
    x = 577,142.10

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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.