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Finding the Fourth Proportional to 578,714.40, 868,071.60 and 199,634.40

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Solution

The fourth proportional to 578,714.40, 868,071.60 and 199,634.40 is: 299,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,714.40 : 868,071.60 = 199,634.40 : x
  2. Step 2: Convert to fraction form
    578,714.40/868,071.60 = 199,634.40/x
  3. Step 3: Cross multiply
    578,714.40x = 868,071.60 × 199,634.40
  4. Step 4: Simplify right side
    578,714.40x = 173,296,953,023.04
  5. Step 5: Solve for x
    x = 173,296,953,023.04/578,714.40
  6. Step 6: Final answer
    x = 299,451.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.