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Finding the Fourth Proportional to 463,004.72, 638,978.20 and 259,074.98

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Solution

The fourth proportional to 463,004.72, 638,978.20 and 259,074.98 is: 357,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,004.72 : 638,978.20 = 259,074.98 : x
  2. Step 2: Convert to fraction form
    463,004.72/638,978.20 = 259,074.98/x
  3. Step 3: Cross multiply
    463,004.72x = 638,978.20 × 259,074.98
  4. Step 4: Simplify right side
    463,004.72x = 165,543,264,385.44
  5. Step 5: Solve for x
    x = 165,543,264,385.44/463,004.72
  6. Step 6: Final answer
    x = 357,541.20

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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.