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Finding the Fourth Proportional to 364,520.43, 546,593.40 and 164,732.58

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Solution

The fourth proportional to 364,520.43, 546,593.40 and 164,732.58 is: 247,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,520.43 : 546,593.40 = 164,732.58 : x
  2. Step 2: Convert to fraction form
    364,520.43/546,593.40 = 164,732.58/x
  3. Step 3: Cross multiply
    364,520.43x = 546,593.40 × 164,732.58
  4. Step 4: Simplify right side
    364,520.43x = 90,041,740,992.97
  5. Step 5: Solve for x
    x = 90,041,740,992.97/364,520.43
  6. Step 6: Final answer
    x = 247,014.25

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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.