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Finding the Fourth Proportional to 432,461, 596,792.60 and 236,227.64

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Solution

The fourth proportional to 432,461, 596,792.60 and 236,227.64 is: 325,992.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,461 : 596,792.60 = 236,227.64 : x
  2. Step 2: Convert to fraction form
    432,461/596,792.60 = 236,227.64/x
  3. Step 3: Cross multiply
    432,461x = 596,792.60 × 236,227.64
  4. Step 4: Simplify right side
    432,461x = 140,978,907,467.46
  5. Step 5: Solve for x
    x = 140,978,907,467.46/432,461
  6. Step 6: Final answer
    x = 325,992.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.