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Finding the Fourth Proportional to 463,745.14, 639,968.28 and 262,541.14

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Solution

The fourth proportional to 463,745.14, 639,968.28 and 262,541.14 is: 362,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,745.14 : 639,968.28 = 262,541.14 : x
  2. Step 2: Convert to fraction form
    463,745.14/639,968.28 = 262,541.14/x
  3. Step 3: Cross multiply
    463,745.14x = 639,968.28 × 262,541.14
  4. Step 4: Simplify right side
    463,745.14x = 168,018,001,795.04
  5. Step 5: Solve for x
    x = 168,018,001,795.04/463,745.14
  6. Step 6: Final answer
    x = 362,306.77

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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.