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Finding the Fourth Proportional to 470,672.94, 705,787.20 and 170,942.16

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Solution

The fourth proportional to 470,672.94, 705,787.20 and 170,942.16 is: 256,332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,672.94 : 705,787.20 = 170,942.16 : x
  2. Step 2: Convert to fraction form
    470,672.94/705,787.20 = 170,942.16/x
  3. Step 3: Cross multiply
    470,672.94x = 705,787.20 × 170,942.16
  4. Step 4: Simplify right side
    470,672.94x = 120,648,788,468.35
  5. Step 5: Solve for x
    x = 120,648,788,468.35/470,672.94
  6. Step 6: Final answer
    x = 256,332.54

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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.