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Finding the Fourth Proportional to 687,253.56, 948,457.26 and 385,467

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Solution

The fourth proportional to 687,253.56, 948,457.26 and 385,467 is: 531,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,253.56 : 948,457.26 = 385,467 : x
  2. Step 2: Convert to fraction form
    687,253.56/948,457.26 = 385,467/x
  3. Step 3: Cross multiply
    687,253.56x = 948,457.26 × 385,467
  4. Step 4: Simplify right side
    687,253.56x = 365,598,974,640.42
  5. Step 5: Solve for x
    x = 365,598,974,640.42/687,253.56
  6. Step 6: Final answer
    x = 531,971.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.