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Finding the Fourth Proportional to 364,088.14, 502,458.63 and 202,944.34

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Solution

The fourth proportional to 364,088.14, 502,458.63 and 202,944.34 is: 280,072.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,088.14 : 502,458.63 = 202,944.34 : x
  2. Step 2: Convert to fraction form
    364,088.14/502,458.63 = 202,944.34/x
  3. Step 3: Cross multiply
    364,088.14x = 502,458.63 × 202,944.34
  4. Step 4: Simplify right side
    364,088.14x = 101,971,135,042.65
  5. Step 5: Solve for x
    x = 101,971,135,042.65/364,088.14
  6. Step 6: Final answer
    x = 280,072.66

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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.