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Finding the Fourth Proportional to 470,212.63, 704,627.56 and 277,889.11

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Solution

The fourth proportional to 470,212.63, 704,627.56 and 277,889.11 is: 416,425.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,212.63 : 704,627.56 = 277,889.11 : x
  2. Step 2: Convert to fraction form
    470,212.63/704,627.56 = 277,889.11/x
  3. Step 3: Cross multiply
    470,212.63x = 704,627.56 × 277,889.11
  4. Step 4: Simplify right side
    470,212.63x = 195,808,325,529.87
  5. Step 5: Solve for x
    x = 195,808,325,529.87/470,212.63
  6. Step 6: Final answer
    x = 416,425.07

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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.