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Finding the Fourth Proportional to 567,193.66, 782,743.65 and 312,561.25

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Solution

The fourth proportional to 567,193.66, 782,743.65 and 312,561.25 is: 431,343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,193.66 : 782,743.65 = 312,561.25 : x
  2. Step 2: Convert to fraction form
    567,193.66/782,743.65 = 312,561.25/x
  3. Step 3: Cross multiply
    567,193.66x = 782,743.65 × 312,561.25
  4. Step 4: Simplify right side
    567,193.66x = 244,655,333,673.56
  5. Step 5: Solve for x
    x = 244,655,333,673.56/567,193.66
  6. Step 6: Final answer
    x = 431,343.56

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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.