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Finding the Fourth Proportional to 364,350, 546,525 and 115,032

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Solution

The fourth proportional to 364,350, 546,525 and 115,032 is: 172,548

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,350 : 546,525 = 115,032 : x
  2. Step 2: Convert to fraction form
    364,350/546,525 = 115,032/x
  3. Step 3: Cross multiply
    364,350x = 546,525 × 115,032
  4. Step 4: Simplify right side
    364,350x = 62,867,863,800
  5. Step 5: Solve for x
    x = 62,867,863,800/364,350
  6. Step 6: Final answer
    x = 172,548

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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.