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Finding the Fourth Proportional to 377,140.80, 520,324.80 and 233,849.28

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Solution

The fourth proportional to 377,140.80, 520,324.80 and 233,849.28 is: 322,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,140.80 : 520,324.80 = 233,849.28 : x
  2. Step 2: Convert to fraction form
    377,140.80/520,324.80 = 233,849.28/x
  3. Step 3: Cross multiply
    377,140.80x = 520,324.80 × 233,849.28
  4. Step 4: Simplify right side
    377,140.80x = 121,677,579,846.14
  5. Step 5: Solve for x
    x = 121,677,579,846.14/377,140.80
  6. Step 6: Final answer
    x = 322,631.71

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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.