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Finding the Fourth Proportional to 325,815.60, 488,723.40 and 314,929.20

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Solution

The fourth proportional to 325,815.60, 488,723.40 and 314,929.20 is: 472,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,815.60 : 488,723.40 = 314,929.20 : x
  2. Step 2: Convert to fraction form
    325,815.60/488,723.40 = 314,929.20/x
  3. Step 3: Cross multiply
    325,815.60x = 488,723.40 × 314,929.20
  4. Step 4: Simplify right side
    325,815.60x = 153,913,269,383.28
  5. Step 5: Solve for x
    x = 153,913,269,383.28/325,815.60
  6. Step 6: Final answer
    x = 472,393.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.