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Finding the Fourth Proportional to 488,208.87, 732,083.67 and 188,830.44

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Solution

The fourth proportional to 488,208.87, 732,083.67 and 188,830.44 is: 283,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,208.87 : 732,083.67 = 188,830.44 : x
  2. Step 2: Convert to fraction form
    488,208.87/732,083.67 = 188,830.44/x
  3. Step 3: Cross multiply
    488,208.87x = 732,083.67 × 188,830.44
  4. Step 4: Simplify right side
    488,208.87x = 138,239,681,522.92
  5. Step 5: Solve for x
    x = 138,239,681,522.92/488,208.87
  6. Step 6: Final answer
    x = 283,156.84

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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.