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Finding the Fourth Proportional to 533,348.55, 800,023.60 and 217,805.46

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Solution

The fourth proportional to 533,348.55, 800,023.60 and 217,805.46 is: 326,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,348.55 : 800,023.60 = 217,805.46 : x
  2. Step 2: Convert to fraction form
    533,348.55/800,023.60 = 217,805.46/x
  3. Step 3: Cross multiply
    533,348.55x = 800,023.60 × 217,805.46
  4. Step 4: Simplify right side
    533,348.55x = 174,249,503,664.22
  5. Step 5: Solve for x
    x = 174,249,503,664.22/533,348.55
  6. Step 6: Final answer
    x = 326,708.50

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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.