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Finding the Fourth Proportional to 687,647.56, 948,938.70 and 381,706.24

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Solution

The fourth proportional to 687,647.56, 948,938.70 and 381,706.24 is: 526,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,647.56 : 948,938.70 = 381,706.24 : x
  2. Step 2: Convert to fraction form
    687,647.56/948,938.70 = 381,706.24/x
  3. Step 3: Cross multiply
    687,647.56x = 948,938.70 × 381,706.24
  4. Step 4: Simplify right side
    687,647.56x = 362,215,823,167.49
  5. Step 5: Solve for x
    x = 362,215,823,167.49/687,647.56
  6. Step 6: Final answer
    x = 526,746.32

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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.