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Finding the Fourth Proportional to 442,814.30, 663,237.30 and 364,082.30

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Solution

The fourth proportional to 442,814.30, 663,237.30 and 364,082.30 is: 545,314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,814.30 : 663,237.30 = 364,082.30 : x
  2. Step 2: Convert to fraction form
    442,814.30/663,237.30 = 364,082.30/x
  3. Step 3: Cross multiply
    442,814.30x = 663,237.30 × 364,082.30
  4. Step 4: Simplify right side
    442,814.30x = 241,472,961,629.79
  5. Step 5: Solve for x
    x = 241,472,961,629.79/442,814.30
  6. Step 6: Final answer
    x = 545,314.28

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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.