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Finding the Fourth Proportional to 470,776.60, 705,942.42 and 171,048.16

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Solution

The fourth proportional to 470,776.60, 705,942.42 and 171,048.16 is: 256,491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,776.60 : 705,942.42 = 171,048.16 : x
  2. Step 2: Convert to fraction form
    470,776.60/705,942.42 = 171,048.16/x
  3. Step 3: Cross multiply
    470,776.60x = 705,942.42 × 171,048.16
  4. Step 4: Simplify right side
    470,776.60x = 120,750,152,006.95
  5. Step 5: Solve for x
    x = 120,750,152,006.95/470,776.60
  6. Step 6: Final answer
    x = 256,491.41

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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.