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Finding the Fourth Proportional to 314,846.91, 434,483.73 and 171,608.13

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Solution

The fourth proportional to 314,846.91, 434,483.73 and 171,608.13 is: 236,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,846.91 : 434,483.73 = 171,608.13 : x
  2. Step 2: Convert to fraction form
    314,846.91/434,483.73 = 171,608.13/x
  3. Step 3: Cross multiply
    314,846.91x = 434,483.73 × 171,608.13
  4. Step 4: Simplify right side
    314,846.91x = 74,560,940,420.72
  5. Step 5: Solve for x
    x = 74,560,940,420.72/314,846.91
  6. Step 6: Final answer
    x = 236,816.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.