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Finding the Fourth Proportional to 517,406.56, 713,410.20 and 354,141.72

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Solution

The fourth proportional to 517,406.56, 713,410.20 and 354,141.72 is: 488,297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,406.56 : 713,410.20 = 354,141.72 : x
  2. Step 2: Convert to fraction form
    517,406.56/713,410.20 = 354,141.72/x
  3. Step 3: Cross multiply
    517,406.56x = 713,410.20 × 354,141.72
  4. Step 4: Simplify right side
    517,406.56x = 252,648,315,293.54
  5. Step 5: Solve for x
    x = 252,648,315,293.54/517,406.56
  6. Step 6: Final answer
    x = 488,297.47

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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.