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Finding the Fourth Proportional to 531,658.40, 733,672.14 and 302,240.72

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Solution

The fourth proportional to 531,658.40, 733,672.14 and 302,240.72 is: 417,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,658.40 : 733,672.14 = 302,240.72 : x
  2. Step 2: Convert to fraction form
    531,658.40/733,672.14 = 302,240.72/x
  3. Step 3: Cross multiply
    531,658.40x = 733,672.14 × 302,240.72
  4. Step 4: Simplify right side
    531,658.40x = 221,745,595,837.54
  5. Step 5: Solve for x
    x = 221,745,595,837.54/531,658.40
  6. Step 6: Final answer
    x = 417,082.84

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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.