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Finding the Fourth Proportional to 364,249.56, 546,374.34 and 114,951

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Solution

The fourth proportional to 364,249.56, 546,374.34 and 114,951 is: 172,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,249.56 : 546,374.34 = 114,951 : x
  2. Step 2: Convert to fraction form
    364,249.56/546,374.34 = 114,951/x
  3. Step 3: Cross multiply
    364,249.56x = 546,374.34 × 114,951
  4. Step 4: Simplify right side
    364,249.56x = 62,806,276,757.34
  5. Step 5: Solve for x
    x = 62,806,276,757.34/364,249.56
  6. Step 6: Final answer
    x = 172,426.50

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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.