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Finding the Fourth Proportional to 547,793.60, 823,072.80 and 348,209.60

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Solution

The fourth proportional to 547,793.60, 823,072.80 and 348,209.60 is: 523,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,793.60 : 823,072.80 = 348,209.60 : x
  2. Step 2: Convert to fraction form
    547,793.60/823,072.80 = 348,209.60/x
  3. Step 3: Cross multiply
    547,793.60x = 823,072.80 × 348,209.60
  4. Step 4: Simplify right side
    547,793.60x = 286,601,850,458.88
  5. Step 5: Solve for x
    x = 286,601,850,458.88/547,793.60
  6. Step 6: Final answer
    x = 523,193.13

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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.