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Finding the Fourth Proportional to 302,325.08, 417,380.69 and 200,488.02

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Solution

The fourth proportional to 302,325.08, 417,380.69 and 200,488.02 is: 276,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,325.08 : 417,380.69 = 200,488.02 : x
  2. Step 2: Convert to fraction form
    302,325.08/417,380.69 = 200,488.02/x
  3. Step 3: Cross multiply
    302,325.08x = 417,380.69 × 200,488.02
  4. Step 4: Simplify right side
    302,325.08x = 83,679,829,854.12
  5. Step 5: Solve for x
    x = 83,679,829,854.12/302,325.08
  6. Step 6: Final answer
    x = 276,787.59

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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.