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Finding the Fourth Proportional to 510,068.16, 703,892.04 and 283,713.68

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Solution

The fourth proportional to 510,068.16, 703,892.04 and 283,713.68 is: 391,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,068.16 : 703,892.04 = 283,713.68 : x
  2. Step 2: Convert to fraction form
    510,068.16/703,892.04 = 283,713.68/x
  3. Step 3: Cross multiply
    510,068.16x = 703,892.04 × 283,713.68
  4. Step 4: Simplify right side
    510,068.16x = 199,703,800,991.11
  5. Step 5: Solve for x
    x = 199,703,800,991.11/510,068.16
  6. Step 6: Final answer
    x = 391,523.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.