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Finding the Fourth Proportional to 510,735.38, 766,101 and 155,748.38

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Solution

The fourth proportional to 510,735.38, 766,101 and 155,748.38 is: 233,621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,735.38 : 766,101 = 155,748.38 : x
  2. Step 2: Convert to fraction form
    510,735.38/766,101 = 155,748.38/x
  3. Step 3: Cross multiply
    510,735.38x = 766,101 × 155,748.38
  4. Step 4: Simplify right side
    510,735.38x = 119,318,985,835.88
  5. Step 5: Solve for x
    x = 119,318,985,835.88/510,735.38
  6. Step 6: Final answer
    x = 233,621.93

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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.