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Finding the Fourth Proportional to 430,863.84, 645,995.97 and 190,847.46

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Solution

The fourth proportional to 430,863.84, 645,995.97 and 190,847.46 is: 286,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,863.84 : 645,995.97 = 190,847.46 : x
  2. Step 2: Convert to fraction form
    430,863.84/645,995.97 = 190,847.46/x
  3. Step 3: Cross multiply
    430,863.84x = 645,995.97 × 190,847.46
  4. Step 4: Simplify right side
    430,863.84x = 123,286,690,044.74
  5. Step 5: Solve for x
    x = 123,286,690,044.74/430,863.84
  6. Step 6: Final answer
    x = 286,138.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.