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Finding the Fourth Proportional to 518,813.12, 716,121.64 and 304,022.38

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Solution

The fourth proportional to 518,813.12, 716,121.64 and 304,022.38 is: 419,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,813.12 : 716,121.64 = 304,022.38 : x
  2. Step 2: Convert to fraction form
    518,813.12/716,121.64 = 304,022.38/x
  3. Step 3: Cross multiply
    518,813.12x = 716,121.64 × 304,022.38
  4. Step 4: Simplify right side
    518,813.12x = 217,717,005,362.30
  5. Step 5: Solve for x
    x = 217,717,005,362.30/518,813.12
  6. Step 6: Final answer
    x = 419,644.37

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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.