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Finding the Fourth Proportional to 567,064.94, 782,551.56 and 312,415.52

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Solution

The fourth proportional to 567,064.94, 782,551.56 and 312,415.52 is: 431,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,064.94 : 782,551.56 = 312,415.52 : x
  2. Step 2: Convert to fraction form
    567,064.94/782,551.56 = 312,415.52/x
  3. Step 3: Cross multiply
    567,064.94x = 782,551.56 × 312,415.52
  4. Step 4: Simplify right side
    567,064.94x = 244,481,252,544.21
  5. Step 5: Solve for x
    x = 244,481,252,544.21/567,064.94
  6. Step 6: Final answer
    x = 431,134.49

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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.