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Finding the Fourth Proportional to 280,553.94, 387,019.89 and 189,913.86

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Solution

The fourth proportional to 280,553.94, 387,019.89 and 189,913.86 is: 261,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,553.94 : 387,019.89 = 189,913.86 : x
  2. Step 2: Convert to fraction form
    280,553.94/387,019.89 = 189,913.86/x
  3. Step 3: Cross multiply
    280,553.94x = 387,019.89 × 189,913.86
  4. Step 4: Simplify right side
    280,553.94x = 73,500,441,206.68
  5. Step 5: Solve for x
    x = 73,500,441,206.68/280,553.94
  6. Step 6: Final answer
    x = 261,983.28

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1.5x scale

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.