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Finding the Fourth Proportional to 567,792.96, 782,739.84 and 446,725.44

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Solution

The fourth proportional to 567,792.96, 782,739.84 and 446,725.44 is: 615,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,792.96 : 782,739.84 = 446,725.44 : x
  2. Step 2: Convert to fraction form
    567,792.96/782,739.84 = 446,725.44/x
  3. Step 3: Cross multiply
    567,792.96x = 782,739.84 × 446,725.44
  4. Step 4: Simplify right side
    567,792.96x = 349,669,799,429.53
  5. Step 5: Solve for x
    x = 349,669,799,429.53/567,792.96
  6. Step 6: Final answer
    x = 615,840.32

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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.