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Finding the Fourth Proportional to 552,403.70, 828,022.35 and 215,314.10

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Solution

The fourth proportional to 552,403.70, 828,022.35 and 215,314.10 is: 322,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,403.70 : 828,022.35 = 215,314.10 : x
  2. Step 2: Convert to fraction form
    552,403.70/828,022.35 = 215,314.10/x
  3. Step 3: Cross multiply
    552,403.70x = 828,022.35 × 215,314.10
  4. Step 4: Simplify right side
    552,403.70x = 178,284,887,070.14
  5. Step 5: Solve for x
    x = 178,284,887,070.14/552,403.70
  6. Step 6: Final answer
    x = 322,743.83

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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.