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Finding the Fourth Proportional to 364,369.48, 502,830.64 and 203,220.38

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Solution

The fourth proportional to 364,369.48, 502,830.64 and 203,220.38 is: 280,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,369.48 : 502,830.64 = 203,220.38 : x
  2. Step 2: Convert to fraction form
    364,369.48/502,830.64 = 203,220.38/x
  3. Step 3: Cross multiply
    364,369.48x = 502,830.64 × 203,220.38
  4. Step 4: Simplify right side
    364,369.48x = 102,185,433,736.44
  5. Step 5: Solve for x
    x = 102,185,433,736.44/364,369.48
  6. Step 6: Final answer
    x = 280,444.55

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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.