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Finding the Fourth Proportional to 510,104.40, 765,448.20 and 194,787.60

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Solution

The fourth proportional to 510,104.40, 765,448.20 and 194,787.60 is: 292,292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,104.40 : 765,448.20 = 194,787.60 : x
  2. Step 2: Convert to fraction form
    510,104.40/765,448.20 = 194,787.60/x
  3. Step 3: Cross multiply
    510,104.40x = 765,448.20 × 194,787.60
  4. Step 4: Simplify right side
    510,104.40x = 149,099,817,802.32
  5. Step 5: Solve for x
    x = 149,099,817,802.32/510,104.40
  6. Step 6: Final answer
    x = 292,292.75

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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.