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Finding the Fourth Proportional to 315,434.82, 473,213.86 and 115,756.64

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Solution

The fourth proportional to 315,434.82, 473,213.86 and 115,756.64 is: 173,657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,434.82 : 473,213.86 = 115,756.64 : x
  2. Step 2: Convert to fraction form
    315,434.82/473,213.86 = 115,756.64/x
  3. Step 3: Cross multiply
    315,434.82x = 473,213.86 × 115,756.64
  4. Step 4: Simplify right side
    315,434.82x = 54,777,646,435.03
  5. Step 5: Solve for x
    x = 54,777,646,435.03/315,434.82
  6. Step 6: Final answer
    x = 173,657.58

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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.