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Finding the Fourth Proportional to 364,856.89, 503,497.74 and 203,714.68

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Solution

The fourth proportional to 364,856.89, 503,497.74 and 203,714.68 is: 281,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,856.89 : 503,497.74 = 203,714.68 : x
  2. Step 2: Convert to fraction form
    364,856.89/503,497.74 = 203,714.68/x
  3. Step 3: Cross multiply
    364,856.89x = 503,497.74 × 203,714.68
  4. Step 4: Simplify right side
    364,856.89x = 102,569,880,984.82
  5. Step 5: Solve for x
    x = 102,569,880,984.82/364,856.89
  6. Step 6: Final answer
    x = 281,123.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.