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Finding the Fourth Proportional to 299,570.50, 413,410.09 and 170,502.64

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Solution

The fourth proportional to 299,570.50, 413,410.09 and 170,502.64 is: 235,295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,570.50 : 413,410.09 = 170,502.64 : x
  2. Step 2: Convert to fraction form
    299,570.50/413,410.09 = 170,502.64/x
  3. Step 3: Cross multiply
    299,570.50x = 413,410.09 × 170,502.64
  4. Step 4: Simplify right side
    299,570.50x = 70,487,510,287.86
  5. Step 5: Solve for x
    x = 70,487,510,287.86/299,570.50
  6. Step 6: Final answer
    x = 235,295.23

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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.