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Finding the Fourth Proportional to 299,572.32, 413,412.63 and 170,504.48

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Solution

The fourth proportional to 299,572.32, 413,412.63 and 170,504.48 is: 235,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,572.32 : 413,412.63 = 170,504.48 : x
  2. Step 2: Convert to fraction form
    299,572.32/413,412.63 = 170,504.48/x
  3. Step 3: Cross multiply
    299,572.32x = 413,412.63 × 170,504.48
  4. Step 4: Simplify right side
    299,572.32x = 70,488,705,503.58
  5. Step 5: Solve for x
    x = 70,488,705,503.58/299,572.32
  6. Step 6: Final answer
    x = 235,297.79

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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.