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Finding the Fourth Proportional to 395,285.40, 592,917.35 and 110,978.32

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Solution

The fourth proportional to 395,285.40, 592,917.35 and 110,978.32 is: 166,464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,285.40 : 592,917.35 = 110,978.32 : x
  2. Step 2: Convert to fraction form
    395,285.40/592,917.35 = 110,978.32/x
  3. Step 3: Cross multiply
    395,285.40x = 592,917.35 × 110,978.32
  4. Step 4: Simplify right side
    395,285.40x = 65,800,971,401.85
  5. Step 5: Solve for x
    x = 65,800,971,401.85/395,285.40
  6. Step 6: Final answer
    x = 166,464.46

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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.