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Finding the Fourth Proportional to 296,057.82, 443,693.07 and 256,429.38

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Solution

The fourth proportional to 296,057.82, 443,693.07 and 256,429.38 is: 384,303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,057.82 : 443,693.07 = 256,429.38 : x
  2. Step 2: Convert to fraction form
    296,057.82/443,693.07 = 256,429.38/x
  3. Step 3: Cross multiply
    296,057.82x = 443,693.07 × 256,429.38
  4. Step 4: Simplify right side
    296,057.82x = 113,775,938,850.40
  5. Step 5: Solve for x
    x = 113,775,938,850.40/296,057.82
  6. Step 6: Final answer
    x = 384,303.10

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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.