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Finding the Fourth Proportional to 364,087.14, 502,457.27 and 202,943.36

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Solution

The fourth proportional to 364,087.14, 502,457.27 and 202,943.36 is: 280,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,087.14 : 502,457.27 = 202,943.36 : x
  2. Step 2: Convert to fraction form
    364,087.14/502,457.27 = 202,943.36/x
  3. Step 3: Cross multiply
    364,087.14x = 502,457.27 × 202,943.36
  4. Step 4: Simplify right side
    364,087.14x = 101,970,363,103.22
  5. Step 5: Solve for x
    x = 101,970,363,103.22/364,087.14
  6. Step 6: Final answer
    x = 280,071.31

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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.