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Finding the Fourth Proportional to 364,365.47, 502,825.12 and 203,216.38

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Solution

The fourth proportional to 364,365.47, 502,825.12 and 203,216.38 is: 280,439.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,365.47 : 502,825.12 = 203,216.38 : x
  2. Step 2: Convert to fraction form
    364,365.47/502,825.12 = 203,216.38/x
  3. Step 3: Cross multiply
    364,365.47x = 502,825.12 × 203,216.38
  4. Step 4: Simplify right side
    364,365.47x = 102,182,298,894.36
  5. Step 5: Solve for x
    x = 102,182,298,894.36/364,365.47
  6. Step 6: Final answer
    x = 280,439.03

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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.