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Finding the Fourth Proportional to 377,896.69, 564,080.24 and 333,057.94

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Solution

The fourth proportional to 377,896.69, 564,080.24 and 333,057.94 is: 497,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,896.69 : 564,080.24 = 333,057.94 : x
  2. Step 2: Convert to fraction form
    377,896.69/564,080.24 = 333,057.94/x
  3. Step 3: Cross multiply
    377,896.69x = 564,080.24 × 333,057.94
  4. Step 4: Simplify right side
    377,896.69x = 187,871,402,729.11
  5. Step 5: Solve for x
    x = 187,871,402,729.11/377,896.69
  6. Step 6: Final answer
    x = 497,150.17

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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.