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Finding the Fourth Proportional to 463,414.01, 639,477.09 and 259,417.94

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Solution

The fourth proportional to 463,414.01, 639,477.09 and 259,417.94 is: 357,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,414.01 : 639,477.09 = 259,417.94 : x
  2. Step 2: Convert to fraction form
    463,414.01/639,477.09 = 259,417.94/x
  3. Step 3: Cross multiply
    463,414.01x = 639,477.09 × 259,417.94
  4. Step 4: Simplify right side
    463,414.01x = 165,891,826,167.61
  5. Step 5: Solve for x
    x = 165,891,826,167.61/463,414.01
  6. Step 6: Final answer
    x = 357,977.58

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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.