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Finding the Fourth Proportional to 470,936.84, 705,516.35 and 278,236.29

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Solution

The fourth proportional to 470,936.84, 705,516.35 and 278,236.29 is: 416,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,936.84 : 705,516.35 = 278,236.29 : x
  2. Step 2: Convert to fraction form
    470,936.84/705,516.35 = 278,236.29/x
  3. Step 3: Cross multiply
    470,936.84x = 705,516.35 × 278,236.29
  4. Step 4: Simplify right side
    470,936.84x = 196,300,253,376.20
  5. Step 5: Solve for x
    x = 196,300,253,376.20/470,936.84
  6. Step 6: Final answer
    x = 416,829.25

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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.