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Finding the Fourth Proportional to 463,235.37, 639,211.10 and 259,297.71

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Solution

The fourth proportional to 463,235.37, 639,211.10 and 259,297.71 is: 357,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,235.37 : 639,211.10 = 259,297.71 : x
  2. Step 2: Convert to fraction form
    463,235.37/639,211.10 = 259,297.71/x
  3. Step 3: Cross multiply
    463,235.37x = 639,211.10 × 259,297.71
  4. Step 4: Simplify right side
    463,235.37x = 165,745,973,140.09
  5. Step 5: Solve for x
    x = 165,745,973,140.09/463,235.37
  6. Step 6: Final answer
    x = 357,800.77

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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.