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Finding the Fourth Proportional to 552,971.44, 828,128.55 and 315,594.46

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Solution

The fourth proportional to 552,971.44, 828,128.55 and 315,594.46 is: 472,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,971.44 : 828,128.55 = 315,594.46 : x
  2. Step 2: Convert to fraction form
    552,971.44/828,128.55 = 315,594.46/x
  3. Step 3: Cross multiply
    552,971.44x = 828,128.55 × 315,594.46
  4. Step 4: Simplify right side
    552,971.44x = 261,352,778,407.19
  5. Step 5: Solve for x
    x = 261,352,778,407.19/552,971.44
  6. Step 6: Final answer
    x = 472,633.42

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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.