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Finding the Fourth Proportional to 433,107.41, 597,406.59 and 277,812.92

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Solution

The fourth proportional to 433,107.41, 597,406.59 and 277,812.92 is: 383,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,107.41 : 597,406.59 = 277,812.92 : x
  2. Step 2: Convert to fraction form
    433,107.41/597,406.59 = 277,812.92/x
  3. Step 3: Cross multiply
    433,107.41x = 597,406.59 × 277,812.92
  4. Step 4: Simplify right side
    433,107.41x = 165,967,266,208.11
  5. Step 5: Solve for x
    x = 165,967,266,208.11/433,107.41
  6. Step 6: Final answer
    x = 383,201.17

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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.