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Finding the Fourth Proportional to 664,085.80, 996,258.30 and 285,005.80

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Solution

The fourth proportional to 664,085.80, 996,258.30 and 285,005.80 is: 427,564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,085.80 : 996,258.30 = 285,005.80 : x
  2. Step 2: Convert to fraction form
    664,085.80/996,258.30 = 285,005.80/x
  3. Step 3: Cross multiply
    664,085.80x = 996,258.30 × 285,005.80
  4. Step 4: Simplify right side
    664,085.80x = 283,939,393,798.14
  5. Step 5: Solve for x
    x = 283,939,393,798.14/664,085.80
  6. Step 6: Final answer
    x = 427,564.32

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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.