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Finding the Fourth Proportional to 510,398.22, 765,597.33 and 136,411.50

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Solution

The fourth proportional to 510,398.22, 765,597.33 and 136,411.50 is: 204,617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,398.22 : 765,597.33 = 136,411.50 : x
  2. Step 2: Convert to fraction form
    510,398.22/765,597.33 = 136,411.50/x
  3. Step 3: Cross multiply
    510,398.22x = 765,597.33 × 136,411.50
  4. Step 4: Simplify right side
    510,398.22x = 104,436,280,181.30
  5. Step 5: Solve for x
    x = 104,436,280,181.30/510,398.22
  6. Step 6: Final answer
    x = 204,617.25

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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.