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Finding the Fourth Proportional to 302,830.56, 454,310.64 and 92,484

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Solution

The fourth proportional to 302,830.56, 454,310.64 and 92,484 is: 138,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,830.56 : 454,310.64 = 92,484 : x
  2. Step 2: Convert to fraction form
    302,830.56/454,310.64 = 92,484/x
  3. Step 3: Cross multiply
    302,830.56x = 454,310.64 × 92,484
  4. Step 4: Simplify right side
    302,830.56x = 42,016,465,229.76
  5. Step 5: Solve for x
    x = 42,016,465,229.76/302,830.56
  6. Step 6: Final answer
    x = 138,745.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.