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Finding the Fourth Proportional to 364,962.89, 503,612.80 and 203,814.48

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Solution

The fourth proportional to 364,962.89, 503,612.80 and 203,814.48 is: 281,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,962.89 : 503,612.80 = 203,814.48 : x
  2. Step 2: Convert to fraction form
    364,962.89/503,612.80 = 203,814.48/x
  3. Step 3: Cross multiply
    364,962.89x = 503,612.80 × 203,814.48
  4. Step 4: Simplify right side
    364,962.89x = 102,643,580,953.34
  5. Step 5: Solve for x
    x = 102,643,580,953.34/364,962.89
  6. Step 6: Final answer
    x = 281,243.88

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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.