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Finding the Fourth Proportional to 488,085.80, 731,783.10 and 188,450.60

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Solution

The fourth proportional to 488,085.80, 731,783.10 and 188,450.60 is: 282,542.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,085.80 : 731,783.10 = 188,450.60 : x
  2. Step 2: Convert to fraction form
    488,085.80/731,783.10 = 188,450.60/x
  3. Step 3: Cross multiply
    488,085.80x = 731,783.10 × 188,450.60
  4. Step 4: Simplify right side
    488,085.80x = 137,904,964,264.86
  5. Step 5: Solve for x
    x = 137,904,964,264.86/488,085.80
  6. Step 6: Final answer
    x = 282,542.46

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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.