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Finding the Fourth Proportional to 567,580.24, 783,265.80 and 312,940.56

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Solution

The fourth proportional to 567,580.24, 783,265.80 and 312,940.56 is: 431,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,580.24 : 783,265.80 = 312,940.56 : x
  2. Step 2: Convert to fraction form
    567,580.24/783,265.80 = 312,940.56/x
  3. Step 3: Cross multiply
    567,580.24x = 783,265.80 × 312,940.56
  4. Step 4: Simplify right side
    567,580.24x = 245,115,638,080.85
  5. Step 5: Solve for x
    x = 245,115,638,080.85/567,580.24
  6. Step 6: Final answer
    x = 431,860.77

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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.