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Finding the Fourth Proportional to 510,176.92, 765,000.66 and 150,301.07

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Solution

The fourth proportional to 510,176.92, 765,000.66 and 150,301.07 is: 225,373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,176.92 : 765,000.66 = 150,301.07 : x
  2. Step 2: Convert to fraction form
    510,176.92/765,000.66 = 150,301.07/x
  3. Step 3: Cross multiply
    510,176.92x = 765,000.66 × 150,301.07
  4. Step 4: Simplify right side
    510,176.92x = 114,980,413,923.70
  5. Step 5: Solve for x
    x = 114,980,413,923.70/510,176.92
  6. Step 6: Final answer
    x = 225,373.61

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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.