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Finding the Fourth Proportional to 313,640.48, 470,509.93 and 187,423.24

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Solution

The fourth proportional to 313,640.48, 470,509.93 and 187,423.24 is: 281,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,640.48 : 470,509.93 = 187,423.24 : x
  2. Step 2: Convert to fraction form
    313,640.48/470,509.93 = 187,423.24/x
  3. Step 3: Cross multiply
    313,640.48x = 470,509.93 × 187,423.24
  4. Step 4: Simplify right side
    313,640.48x = 88,184,496,005.60
  5. Step 5: Solve for x
    x = 88,184,496,005.60/313,640.48
  6. Step 6: Final answer
    x = 281,164.27

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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.