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Finding the Fourth Proportional to 337,884.16, 463,796.40 and 298,787.08

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Solution

The fourth proportional to 337,884.16, 463,796.40 and 298,787.08 is: 410,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,884.16 : 463,796.40 = 298,787.08 : x
  2. Step 2: Convert to fraction form
    337,884.16/463,796.40 = 298,787.08/x
  3. Step 3: Cross multiply
    337,884.16x = 463,796.40 × 298,787.08
  4. Step 4: Simplify right side
    337,884.16x = 138,576,369,417.09
  5. Step 5: Solve for x
    x = 138,576,369,417.09/337,884.16
  6. Step 6: Final answer
    x = 410,129.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.