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Finding the Fourth Proportional to 302,670.94, 417,715.39 and 226,057.02

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Solution

The fourth proportional to 302,670.94, 417,715.39 and 226,057.02 is: 311,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,670.94 : 417,715.39 = 226,057.02 : x
  2. Step 2: Convert to fraction form
    302,670.94/417,715.39 = 226,057.02/x
  3. Step 3: Cross multiply
    302,670.94x = 417,715.39 × 226,057.02
  4. Step 4: Simplify right side
    302,670.94x = 94,427,494,748.10
  5. Step 5: Solve for x
    x = 94,427,494,748.10/302,670.94
  6. Step 6: Final answer
    x = 311,980.71

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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.