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Finding the Fourth Proportional to 299,309.57, 413,055.96 and 163,352.24

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Solution

The fourth proportional to 299,309.57, 413,055.96 and 163,352.24 is: 225,430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,309.57 : 413,055.96 = 163,352.24 : x
  2. Step 2: Convert to fraction form
    299,309.57/413,055.96 = 163,352.24/x
  3. Step 3: Cross multiply
    299,309.57x = 413,055.96 × 163,352.24
  4. Step 4: Simplify right side
    299,309.57x = 67,473,614,246.07
  5. Step 5: Solve for x
    x = 67,473,614,246.07/299,309.57
  6. Step 6: Final answer
    x = 225,430.86

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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.