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Finding the Fourth Proportional to 325,852.80, 488,779.20 and 263,644.80

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Solution

The fourth proportional to 325,852.80, 488,779.20 and 263,644.80 is: 395,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,852.80 : 488,779.20 = 263,644.80 : x
  2. Step 2: Convert to fraction form
    325,852.80/488,779.20 = 263,644.80/x
  3. Step 3: Cross multiply
    325,852.80x = 488,779.20 × 263,644.80
  4. Step 4: Simplify right side
    325,852.80x = 128,864,094,428.16
  5. Step 5: Solve for x
    x = 128,864,094,428.16/325,852.80
  6. Step 6: Final answer
    x = 395,467.20

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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.