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Finding the Fourth Proportional to 470,764.92, 705,925.41 and 171,034.14

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Solution

The fourth proportional to 470,764.92, 705,925.41 and 171,034.14 is: 256,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,764.92 : 705,925.41 = 171,034.14 : x
  2. Step 2: Convert to fraction form
    470,764.92/705,925.41 = 171,034.14/x
  3. Step 3: Cross multiply
    470,764.92x = 705,925.41 × 171,034.14
  4. Step 4: Simplify right side
    470,764.92x = 120,737,345,403.50
  5. Step 5: Solve for x
    x = 120,737,345,403.50/470,764.92
  6. Step 6: Final answer
    x = 256,470.57

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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.