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Finding the Fourth Proportional to 302,325.58, 417,381.38 and 200,488.53

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Solution

The fourth proportional to 302,325.58, 417,381.38 and 200,488.53 is: 276,788.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,325.58 : 417,381.38 = 200,488.53 : x
  2. Step 2: Convert to fraction form
    302,325.58/417,381.38 = 200,488.53/x
  3. Step 3: Cross multiply
    302,325.58x = 417,381.38 × 200,488.53
  4. Step 4: Simplify right side
    302,325.58x = 83,680,177,238.66
  5. Step 5: Solve for x
    x = 83,680,177,238.66/302,325.58
  6. Step 6: Final answer
    x = 276,788.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.