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Finding the Fourth Proportional to 364,089.14, 502,460.03 and 202,945.36

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Solution

The fourth proportional to 364,089.14, 502,460.03 and 202,945.36 is: 280,074.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,089.14 : 502,460.03 = 202,945.36 : x
  2. Step 2: Convert to fraction form
    364,089.14/502,460.03 = 202,945.36/x
  3. Step 3: Cross multiply
    364,089.14x = 502,460.03 × 202,945.36
  4. Step 4: Simplify right side
    364,089.14x = 101,971,931,673.96
  5. Step 5: Solve for x
    x = 101,971,931,673.96/364,089.14
  6. Step 6: Final answer
    x = 280,074.08

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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.