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Finding the Fourth Proportional to 470,391.31, 705,545.34 and 170,874.46

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Solution

The fourth proportional to 470,391.31, 705,545.34 and 170,874.46 is: 256,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,391.31 : 705,545.34 = 170,874.46 : x
  2. Step 2: Convert to fraction form
    470,391.31/705,545.34 = 170,874.46/x
  3. Step 3: Cross multiply
    470,391.31x = 705,545.34 × 170,874.46
  4. Step 4: Simplify right side
    470,391.31x = 120,559,678,978.02
  5. Step 5: Solve for x
    x = 120,559,678,978.02/470,391.31
  6. Step 6: Final answer
    x = 256,296.57

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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.