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Finding the Fourth Proportional to 463,709.76, 639,943.44 and 259,748.76

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Solution

The fourth proportional to 463,709.76, 639,943.44 and 259,748.76 is: 358,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,709.76 : 639,943.44 = 259,748.76 : x
  2. Step 2: Convert to fraction form
    463,709.76/639,943.44 = 259,748.76/x
  3. Step 3: Cross multiply
    463,709.76x = 639,943.44 × 259,748.76
  4. Step 4: Simplify right side
    463,709.76x = 166,224,515,010.13
  5. Step 5: Solve for x
    x = 166,224,515,010.13/463,709.76
  6. Step 6: Final answer
    x = 358,466.72

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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.