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Finding the Fourth Proportional to 299,570.32, 413,409.87 and 170,502.48

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Solution

The fourth proportional to 299,570.32, 413,409.87 and 170,502.48 is: 235,295.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,570.32 : 413,409.87 = 170,502.48 : x
  2. Step 2: Convert to fraction form
    299,570.32/413,409.87 = 170,502.48/x
  3. Step 3: Cross multiply
    299,570.32x = 413,409.87 × 170,502.48
  4. Step 4: Simplify right side
    299,570.32x = 70,487,408,091.48
  5. Step 5: Solve for x
    x = 70,487,408,091.48/299,570.32
  6. Step 6: Final answer
    x = 235,295.03

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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.