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Finding the Fourth Proportional to 299,963.93, 413,975.81 and 170,941.86

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Solution

The fourth proportional to 299,963.93, 413,975.81 and 170,941.86 is: 235,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,963.93 : 413,975.81 = 170,941.86 : x
  2. Step 2: Convert to fraction form
    299,963.93/413,975.81 = 170,941.86/x
  3. Step 3: Cross multiply
    299,963.93x = 413,975.81 × 170,941.86
  4. Step 4: Simplify right side
    299,963.93x = 70,765,795,383.76
  5. Step 5: Solve for x
    x = 70,765,795,383.76/299,963.93
  6. Step 6: Final answer
    x = 235,914.35

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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.