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Finding the Fourth Proportional to 510,078.12, 703,905.84 and 283,723.68

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Solution

The fourth proportional to 510,078.12, 703,905.84 and 283,723.68 is: 391,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,078.12 : 703,905.84 = 283,723.68 : x
  2. Step 2: Convert to fraction form
    510,078.12/703,905.84 = 283,723.68/x
  3. Step 3: Cross multiply
    510,078.12x = 703,905.84 × 283,723.68
  4. Step 4: Simplify right side
    510,078.12x = 199,714,755,298.29
  5. Step 5: Solve for x
    x = 199,714,755,298.29/510,078.12
  6. Step 6: Final answer
    x = 391,537.59

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