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Finding the Fourth Proportional to 510,412.01, 765,559.68 and 136,464.17

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Solution

The fourth proportional to 510,412.01, 765,559.68 and 136,464.17 is: 204,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,412.01 : 765,559.68 = 136,464.17 : x
  2. Step 2: Convert to fraction form
    510,412.01/765,559.68 = 136,464.17/x
  3. Step 3: Cross multiply
    510,412.01x = 765,559.68 × 136,464.17
  4. Step 4: Simplify right side
    510,412.01x = 104,471,466,316.67
  5. Step 5: Solve for x
    x = 104,471,466,316.67/510,412.01
  6. Step 6: Final answer
    x = 204,680.66

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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.