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Finding the Fourth Proportional to 353,181.60, 529,772.40 and 314,690.40

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Solution

The fourth proportional to 353,181.60, 529,772.40 and 314,690.40 is: 472,035.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,181.60 : 529,772.40 = 314,690.40 : x
  2. Step 2: Convert to fraction form
    353,181.60/529,772.40 = 314,690.40/x
  3. Step 3: Cross multiply
    353,181.60x = 529,772.40 × 314,690.40
  4. Step 4: Simplify right side
    353,181.60x = 166,714,288,464.96
  5. Step 5: Solve for x
    x = 166,714,288,464.96/353,181.60
  6. Step 6: Final answer
    x = 472,035.60

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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.