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Finding the Fourth Proportional to 567,082.45, 782,573.33 and 312,433.64

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Solution

The fourth proportional to 567,082.45, 782,573.33 and 312,433.64 is: 431,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,082.45 : 782,573.33 = 312,433.64 : x
  2. Step 2: Convert to fraction form
    567,082.45/782,573.33 = 312,433.64/x
  3. Step 3: Cross multiply
    567,082.45x = 782,573.33 × 312,433.64
  4. Step 4: Simplify right side
    567,082.45x = 244,502,228,583.79
  5. Step 5: Solve for x
    x = 244,502,228,583.79/567,082.45
  6. Step 6: Final answer
    x = 431,158.17

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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.