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Finding the Fourth Proportional to 510,750.36, 766,096.38 and 195,239.16

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Solution

The fourth proportional to 510,750.36, 766,096.38 and 195,239.16 is: 292,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,750.36 : 766,096.38 = 195,239.16 : x
  2. Step 2: Convert to fraction form
    510,750.36/766,096.38 = 195,239.16/x
  3. Step 3: Cross multiply
    510,750.36x = 766,096.38 × 195,239.16
  4. Step 4: Simplify right side
    510,750.36x = 149,572,013,710.24
  5. Step 5: Solve for x
    x = 149,572,013,710.24/510,750.36
  6. Step 6: Final answer
    x = 292,847.59

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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.