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Finding the Fourth Proportional to 364,072.14, 502,421.92 and 202,937.42

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Solution

The fourth proportional to 364,072.14, 502,421.92 and 202,937.42 is: 280,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,072.14 : 502,421.92 = 202,937.42 : x
  2. Step 2: Convert to fraction form
    364,072.14/502,421.92 = 202,937.42/x
  3. Step 3: Cross multiply
    364,072.14x = 502,421.92 × 202,937.42
  4. Step 4: Simplify right side
    364,072.14x = 101,960,208,196.25
  5. Step 5: Solve for x
    x = 101,960,208,196.25/364,072.14
  6. Step 6: Final answer
    x = 280,054.96

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