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Finding the Fourth Proportional to 567,633.84, 782,520.78 and 446,564.88

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Solution

The fourth proportional to 567,633.84, 782,520.78 and 446,564.88 is: 615,619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,633.84 : 782,520.78 = 446,564.88 : x
  2. Step 2: Convert to fraction form
    567,633.84/782,520.78 = 446,564.88/x
  3. Step 3: Cross multiply
    567,633.84x = 782,520.78 × 446,564.88
  4. Step 4: Simplify right side
    567,633.84x = 349,446,298,218.21
  5. Step 5: Solve for x
    x = 349,446,298,218.21/567,633.84
  6. Step 6: Final answer
    x = 615,619.21

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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.