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Finding the Fourth Proportional to 517,236.16, 713,381.12 and 353,989.44

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Solution

The fourth proportional to 517,236.16, 713,381.12 and 353,989.44 is: 488,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,236.16 : 713,381.12 = 353,989.44 : x
  2. Step 2: Convert to fraction form
    517,236.16/713,381.12 = 353,989.44/x
  3. Step 3: Cross multiply
    517,236.16x = 713,381.12 × 353,989.44
  4. Step 4: Simplify right side
    517,236.16x = 252,529,383,175.37
  5. Step 5: Solve for x
    x = 252,529,383,175.37/517,236.16
  6. Step 6: Final answer
    x = 488,228.40

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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.