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Finding the Fourth Proportional to 470,257.84, 705,377.04 and 115,273.72

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Solution

The fourth proportional to 470,257.84, 705,377.04 and 115,273.72 is: 172,908.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,257.84 : 705,377.04 = 115,273.72 : x
  2. Step 2: Convert to fraction form
    470,257.84/705,377.04 = 115,273.72/x
  3. Step 3: Cross multiply
    470,257.84x = 705,377.04 × 115,273.72
  4. Step 4: Simplify right side
    470,257.84x = 81,311,435,403.39
  5. Step 5: Solve for x
    x = 81,311,435,403.39/470,257.84
  6. Step 6: Final answer
    x = 172,908.20

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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.