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Finding the Fourth Proportional to 533,711.40, 800,178.30 and 218,005.80

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Solution

The fourth proportional to 533,711.40, 800,178.30 and 218,005.80 is: 326,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,711.40 : 800,178.30 = 218,005.80 : x
  2. Step 2: Convert to fraction form
    533,711.40/800,178.30 = 218,005.80/x
  3. Step 3: Cross multiply
    533,711.40x = 800,178.30 × 218,005.80
  4. Step 4: Simplify right side
    533,711.40x = 174,443,510,434.14
  5. Step 5: Solve for x
    x = 174,443,510,434.14/533,711.40
  6. Step 6: Final answer
    x = 326,849.89

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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.