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Finding the Fourth Proportional to 510,130.40, 765,487.20 and 194,813.60

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Solution

The fourth proportional to 510,130.40, 765,487.20 and 194,813.60 is: 292,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,130.40 : 765,487.20 = 194,813.60 : x
  2. Step 2: Convert to fraction form
    510,130.40/765,487.20 = 194,813.60/x
  3. Step 3: Cross multiply
    510,130.40x = 765,487.20 × 194,813.60
  4. Step 4: Simplify right side
    510,130.40x = 149,127,317,185.92
  5. Step 5: Solve for x
    x = 149,127,317,185.92/510,130.40
  6. Step 6: Final answer
    x = 292,331.76

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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.