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Finding the Fourth Proportional to 567,182.22, 782,185.53 and 413,977.86

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Solution

The fourth proportional to 567,182.22, 782,185.53 and 413,977.86 is: 570,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,182.22 : 782,185.53 = 413,977.86 : x
  2. Step 2: Convert to fraction form
    567,182.22/782,185.53 = 413,977.86/x
  3. Step 3: Cross multiply
    567,182.22x = 782,185.53 × 413,977.86
  4. Step 4: Simplify right side
    567,182.22x = 323,807,491,832.37
  5. Step 5: Solve for x
    x = 323,807,491,832.37/567,182.22
  6. Step 6: Final answer
    x = 570,905.58

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1.5x scale

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.