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Finding the Fourth Proportional to 325,929.60, 488,602.80 and 213,663.60

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Solution

The fourth proportional to 325,929.60, 488,602.80 and 213,663.60 is: 320,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,929.60 : 488,602.80 = 213,663.60 : x
  2. Step 2: Convert to fraction form
    325,929.60/488,602.80 = 213,663.60/x
  3. Step 3: Cross multiply
    325,929.60x = 488,602.80 × 213,663.60
  4. Step 4: Simplify right side
    325,929.60x = 104,396,633,218.08
  5. Step 5: Solve for x
    x = 104,396,633,218.08/325,929.60
  6. Step 6: Final answer
    x = 320,304.24

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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.