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Finding the Fourth Proportional to 553,400.20, 830,100.30 and 488,081.80

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Solution

The fourth proportional to 553,400.20, 830,100.30 and 488,081.80 is: 732,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,400.20 : 830,100.30 = 488,081.80 : x
  2. Step 2: Convert to fraction form
    553,400.20/830,100.30 = 488,081.80/x
  3. Step 3: Cross multiply
    553,400.20x = 830,100.30 × 488,081.80
  4. Step 4: Simplify right side
    553,400.20x = 405,156,848,604.54
  5. Step 5: Solve for x
    x = 405,156,848,604.54/553,400.20
  6. Step 6: Final answer
    x = 732,122.70

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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.