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Finding the Fourth Proportional to 302,173.32, 417,019.68 and 200,022.87

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Solution

The fourth proportional to 302,173.32, 417,019.68 and 200,022.87 is: 276,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,173.32 : 417,019.68 = 200,022.87 : x
  2. Step 2: Convert to fraction form
    302,173.32/417,019.68 = 200,022.87/x
  3. Step 3: Cross multiply
    302,173.32x = 417,019.68 × 200,022.87
  4. Step 4: Simplify right side
    302,173.32x = 83,413,473,240.08
  5. Step 5: Solve for x
    x = 83,413,473,240.08/302,173.32
  6. Step 6: Final answer
    x = 276,045.13

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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.