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Finding the Fourth Proportional to 510,809.96, 766,035.48 and 150,884.78

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Solution

The fourth proportional to 510,809.96, 766,035.48 and 150,884.78 is: 226,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,809.96 : 766,035.48 = 150,884.78 : x
  2. Step 2: Convert to fraction form
    510,809.96/766,035.48 = 150,884.78/x
  3. Step 3: Cross multiply
    510,809.96x = 766,035.48 × 150,884.78
  4. Step 4: Simplify right side
    510,809.96x = 115,583,090,758.91
  5. Step 5: Solve for x
    x = 115,583,090,758.91/510,809.96
  6. Step 6: Final answer
    x = 226,274.15

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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.