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Finding the Fourth Proportional to 189,493.48, 284,214.30 and 56,394.28

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Solution

The fourth proportional to 189,493.48, 284,214.30 and 56,394.28 is: 84,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,493.48 : 284,214.30 = 56,394.28 : x
  2. Step 2: Convert to fraction form
    189,493.48/284,214.30 = 56,394.28/x
  3. Step 3: Cross multiply
    189,493.48x = 284,214.30 × 56,394.28
  4. Step 4: Simplify right side
    189,493.48x = 16,028,060,814.20
  5. Step 5: Solve for x
    x = 16,028,060,814.20/189,493.48
  6. Step 6: Final answer
    x = 84,583.71

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1.5x scale

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.