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Finding the Fourth Proportional to 567,274.38, 782,838.65 and 312,625.56

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Solution

The fourth proportional to 567,274.38, 782,838.65 and 312,625.56 is: 431,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,274.38 : 782,838.65 = 312,625.56 : x
  2. Step 2: Convert to fraction form
    567,274.38/782,838.65 = 312,625.56/x
  3. Step 3: Cross multiply
    567,274.38x = 782,838.65 × 312,625.56
  4. Step 4: Simplify right side
    567,274.38x = 244,735,369,782.77
  5. Step 5: Solve for x
    x = 244,735,369,782.77/567,274.38
  6. Step 6: Final answer
    x = 431,423.28

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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.