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Finding the Fourth Proportional to 567,894.24, 783,696.24 and 313,241.76

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Solution

The fourth proportional to 567,894.24, 783,696.24 and 313,241.76 is: 432,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,894.24 : 783,696.24 = 313,241.76 : x
  2. Step 2: Convert to fraction form
    567,894.24/783,696.24 = 313,241.76/x
  3. Step 3: Cross multiply
    567,894.24x = 783,696.24 × 313,241.76
  4. Step 4: Simplify right side
    567,894.24x = 245,486,389,522.98
  5. Step 5: Solve for x
    x = 245,486,389,522.98/567,894.24
  6. Step 6: Final answer
    x = 432,274.84

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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.