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Finding the Fourth Proportional to 508,402.26, 762,150.34 and 193,080.60

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Solution

The fourth proportional to 508,402.26, 762,150.34 and 193,080.60 is: 289,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,402.26 : 762,150.34 = 193,080.60 : x
  2. Step 2: Convert to fraction form
    508,402.26/762,150.34 = 193,080.60/x
  3. Step 3: Cross multiply
    508,402.26x = 762,150.34 × 193,080.60
  4. Step 4: Simplify right side
    508,402.26x = 147,156,444,937.40
  5. Step 5: Solve for x
    x = 147,156,444,937.40/508,402.26
  6. Step 6: Final answer
    x = 289,448.84

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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.