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Finding the Fourth Proportional to 357,717.67, 493,627.16 and 204,757.07

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Solution

The fourth proportional to 357,717.67, 493,627.16 and 204,757.07 is: 282,551.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,717.67 : 493,627.16 = 204,757.07 : x
  2. Step 2: Convert to fraction form
    357,717.67/493,627.16 = 204,757.07/x
  3. Step 3: Cross multiply
    357,717.67x = 493,627.16 × 204,757.07
  4. Step 4: Simplify right side
    357,717.67x = 101,073,648,997.78
  5. Step 5: Solve for x
    x = 101,073,648,997.78/357,717.67
  6. Step 6: Final answer
    x = 282,551.46

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1.5x scale

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.