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Finding the Fourth Proportional to 510,110.40, 765,457.20 and 194,793.60

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Solution

The fourth proportional to 510,110.40, 765,457.20 and 194,793.60 is: 292,301.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,110.40 : 765,457.20 = 194,793.60 : x
  2. Step 2: Convert to fraction form
    510,110.40/765,457.20 = 194,793.60/x
  3. Step 3: Cross multiply
    510,110.40x = 765,457.20 × 194,793.60
  4. Step 4: Simplify right side
    510,110.40x = 149,106,163,633.92
  5. Step 5: Solve for x
    x = 149,106,163,633.92/510,110.40
  6. Step 6: Final answer
    x = 292,301.75

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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.