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Finding the Fourth Proportional to 567,536.50, 783,205.68 and 312,896.80

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Solution

The fourth proportional to 567,536.50, 783,205.68 and 312,896.80 is: 431,800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,536.50 : 783,205.68 = 312,896.80 : x
  2. Step 2: Convert to fraction form
    567,536.50/783,205.68 = 312,896.80/x
  3. Step 3: Cross multiply
    567,536.50x = 783,205.68 × 312,896.80
  4. Step 4: Simplify right side
    567,536.50x = 245,062,551,013.82
  5. Step 5: Solve for x
    x = 245,062,551,013.82/567,536.50
  6. Step 6: Final answer
    x = 431,800.51

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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.