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Finding the Fourth Proportional to 567,634.96, 782,522.31 and 446,565.98

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Solution

The fourth proportional to 567,634.96, 782,522.31 and 446,565.98 is: 615,620.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,634.96 : 782,522.31 = 446,565.98 : x
  2. Step 2: Convert to fraction form
    567,634.96/782,522.31 = 446,565.98/x
  3. Step 3: Cross multiply
    567,634.96x = 782,522.31 × 446,565.98
  4. Step 4: Simplify right side
    567,634.96x = 349,447,844,193.32
  5. Step 5: Solve for x
    x = 349,447,844,193.32/567,634.96
  6. Step 6: Final answer
    x = 615,620.73

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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.