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Finding the Fourth Proportional to 567,611.49, 782,489.97 and 446,542.51

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Solution

The fourth proportional to 567,611.49, 782,489.97 and 446,542.51 is: 615,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,611.49 : 782,489.97 = 446,542.51 : x
  2. Step 2: Convert to fraction form
    567,611.49/782,489.97 = 446,542.51/x
  3. Step 3: Cross multiply
    567,611.49x = 782,489.97 × 446,542.51
  4. Step 4: Simplify right side
    567,611.49x = 349,415,031,341.18
  5. Step 5: Solve for x
    x = 349,415,031,341.18/567,611.49
  6. Step 6: Final answer
    x = 615,588.37

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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.