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Finding the Fourth Proportional to 432,327.74, 592,286.22 and 416,160.68

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Solution

The fourth proportional to 432,327.74, 592,286.22 and 416,160.68 is: 570,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,327.74 : 592,286.22 = 416,160.68 : x
  2. Step 2: Convert to fraction form
    432,327.74/592,286.22 = 416,160.68/x
  3. Step 3: Cross multiply
    432,327.74x = 592,286.22 × 416,160.68
  4. Step 4: Simplify right side
    432,327.74x = 246,486,233,108.40
  5. Step 5: Solve for x
    x = 246,486,233,108.40/432,327.74
  6. Step 6: Final answer
    x = 570,137.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.