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Finding the Fourth Proportional to 334,144.64, 501,238.86 and 97,467.50

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Solution

The fourth proportional to 334,144.64, 501,238.86 and 97,467.50 is: 146,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,144.64 : 501,238.86 = 97,467.50 : x
  2. Step 2: Convert to fraction form
    334,144.64/501,238.86 = 97,467.50/x
  3. Step 3: Cross multiply
    334,144.64x = 501,238.86 × 97,467.50
  4. Step 4: Simplify right side
    334,144.64x = 48,854,498,587.05
  5. Step 5: Solve for x
    x = 48,854,498,587.05/334,144.64
  6. Step 6: Final answer
    x = 146,207.64

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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.