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Finding the Fourth Proportional to 282,276.38, 389,004.43 and 277,088.84

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Solution

The fourth proportional to 282,276.38, 389,004.43 and 277,088.84 is: 381,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,276.38 : 389,004.43 = 277,088.84 : x
  2. Step 2: Convert to fraction form
    282,276.38/389,004.43 = 277,088.84/x
  3. Step 3: Cross multiply
    282,276.38x = 389,004.43 × 277,088.84
  4. Step 4: Simplify right side
    282,276.38x = 107,788,786,263.56
  5. Step 5: Solve for x
    x = 107,788,786,263.56/282,276.38
  6. Step 6: Final answer
    x = 381,855.49

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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.