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Finding the Fourth Proportional to 461,161.64, 687,158.02 and 410,855.16

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Solution

The fourth proportional to 461,161.64, 687,158.02 and 410,855.16 is: 612,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,161.64 : 687,158.02 = 410,855.16 : x
  2. Step 2: Convert to fraction form
    461,161.64/687,158.02 = 410,855.16/x
  3. Step 3: Cross multiply
    461,161.64x = 687,158.02 × 410,855.16
  4. Step 4: Simplify right side
    461,161.64x = 282,322,418,252.38
  5. Step 5: Solve for x
    x = 282,322,418,252.38/461,161.64
  6. Step 6: Final answer
    x = 612,198.40

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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.