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Finding the Fourth Proportional to 567,164.94, 782,742.78 and 423,675.87

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Solution

The fourth proportional to 567,164.94, 782,742.78 and 423,675.87 is: 584,713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,164.94 : 782,742.78 = 423,675.87 : x
  2. Step 2: Convert to fraction form
    567,164.94/782,742.78 = 423,675.87/x
  3. Step 3: Cross multiply
    567,164.94x = 782,742.78 × 423,675.87
  4. Step 4: Simplify right side
    567,164.94x = 331,629,228,302.72
  5. Step 5: Solve for x
    x = 331,629,228,302.72/567,164.94
  6. Step 6: Final answer
    x = 584,713.91

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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.