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Finding the Fourth Proportional to 552,971.69, 828,128.92 and 315,594.71

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Solution

The fourth proportional to 552,971.69, 828,128.92 and 315,594.71 is: 472,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,971.69 : 828,128.92 = 315,594.71 : x
  2. Step 2: Convert to fraction form
    552,971.69/828,128.92 = 315,594.71/x
  3. Step 3: Cross multiply
    552,971.69x = 828,128.92 × 315,594.71
  4. Step 4: Simplify right side
    552,971.69x = 261,353,106,350.01
  5. Step 5: Solve for x
    x = 261,353,106,350.01/552,971.69
  6. Step 6: Final answer
    x = 472,633.79

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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.