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Finding the Fourth Proportional to 334,509.82, 501,976.26 and 174,873.86

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Solution

The fourth proportional to 334,509.82, 501,976.26 and 174,873.86 is: 262,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,509.82 : 501,976.26 = 174,873.86 : x
  2. Step 2: Convert to fraction form
    334,509.82/501,976.26 = 174,873.86/x
  3. Step 3: Cross multiply
    334,509.82x = 501,976.26 × 174,873.86
  4. Step 4: Simplify right side
    334,509.82x = 87,782,522,830.31
  5. Step 5: Solve for x
    x = 87,782,522,830.31/334,509.82
  6. Step 6: Final answer
    x = 262,421.36

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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.