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Finding the Fourth Proportional to 375,822.84, 517,940.10 and 266,932.10

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Solution

The fourth proportional to 375,822.84, 517,940.10 and 266,932.10 is: 367,872.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,822.84 : 517,940.10 = 266,932.10 : x
  2. Step 2: Convert to fraction form
    375,822.84/517,940.10 = 266,932.10/x
  3. Step 3: Cross multiply
    375,822.84x = 517,940.10 × 266,932.10
  4. Step 4: Simplify right side
    375,822.84x = 138,254,838,567.21
  5. Step 5: Solve for x
    x = 138,254,838,567.21/375,822.84
  6. Step 6: Final answer
    x = 367,872.37

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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.