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Finding the Fourth Proportional to 315,570.36, 473,494.26 and 165,775.86

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Solution

The fourth proportional to 315,570.36, 473,494.26 and 165,775.86 is: 248,736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,570.36 : 473,494.26 = 165,775.86 : x
  2. Step 2: Convert to fraction form
    315,570.36/473,494.26 = 165,775.86/x
  3. Step 3: Cross multiply
    315,570.36x = 473,494.26 × 165,775.86
  4. Step 4: Simplify right side
    315,570.36x = 78,493,918,156.56
  5. Step 5: Solve for x
    x = 78,493,918,156.56/315,570.36
  6. Step 6: Final answer
    x = 248,736.66

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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.