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Finding the Fourth Proportional to 364,251.56, 546,377.34 and 114,953

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Solution

The fourth proportional to 364,251.56, 546,377.34 and 114,953 is: 172,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,251.56 : 546,377.34 = 114,953 : x
  2. Step 2: Convert to fraction form
    364,251.56/546,377.34 = 114,953/x
  3. Step 3: Cross multiply
    364,251.56x = 546,377.34 × 114,953
  4. Step 4: Simplify right side
    364,251.56x = 62,807,714,365.02
  5. Step 5: Solve for x
    x = 62,807,714,365.02/364,251.56
  6. Step 6: Final answer
    x = 172,429.50

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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.