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Finding the Fourth Proportional to 517,322.40, 771,414.96 and 454,399.98

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Solution

The fourth proportional to 517,322.40, 771,414.96 and 454,399.98 is: 677,587.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,322.40 : 771,414.96 = 454,399.98 : x
  2. Step 2: Convert to fraction form
    517,322.40/771,414.96 = 454,399.98/x
  3. Step 3: Cross multiply
    517,322.40x = 771,414.96 × 454,399.98
  4. Step 4: Simplify right side
    517,322.40x = 350,530,942,395.70
  5. Step 5: Solve for x
    x = 350,530,942,395.70/517,322.40
  6. Step 6: Final answer
    x = 677,587.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.