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Finding the Fourth Proportional to 432,568.62, 592,609.05 and 416,396.16

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Solution

The fourth proportional to 432,568.62, 592,609.05 and 416,396.16 is: 570,453.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,568.62 : 592,609.05 = 416,396.16 : x
  2. Step 2: Convert to fraction form
    432,568.62/592,609.05 = 416,396.16/x
  3. Step 3: Cross multiply
    432,568.62x = 592,609.05 × 416,396.16
  4. Step 4: Simplify right side
    432,568.62x = 246,760,132,801.25
  5. Step 5: Solve for x
    x = 246,760,132,801.25/432,568.62
  6. Step 6: Final answer
    x = 570,453.15

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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.