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Finding the Fourth Proportional to 364,452, 546,765.69 and 115,134

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Solution

The fourth proportional to 364,452, 546,765.69 and 115,134 is: 172,728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,452 : 546,765.69 = 115,134 : x
  2. Step 2: Convert to fraction form
    364,452/546,765.69 = 115,134/x
  3. Step 3: Cross multiply
    364,452x = 546,765.69 × 115,134
  4. Step 4: Simplify right side
    364,452x = 62,951,320,952.46
  5. Step 5: Solve for x
    x = 62,951,320,952.46/364,452
  6. Step 6: Final answer
    x = 172,728.70

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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.