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Finding the Fourth Proportional to 510,434.00, 765,592.67 and 136,486.16

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Solution

The fourth proportional to 510,434.00, 765,592.67 and 136,486.16 is: 204,713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,434.00 : 765,592.67 = 136,486.16 : x
  2. Step 2: Convert to fraction form
    510,434.00/765,592.67 = 136,486.16/x
  3. Step 3: Cross multiply
    510,434.00x = 765,592.67 × 136,486.16
  4. Step 4: Simplify right side
    510,434.00x = 104,492,800,499.58
  5. Step 5: Solve for x
    x = 104,492,800,499.58/510,434.00
  6. Step 6: Final answer
    x = 204,713.64

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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.