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Finding the Fourth Proportional to 299,460.56, 413,261.40 and 163,494.84

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Solution

The fourth proportional to 299,460.56, 413,261.40 and 163,494.84 is: 225,626.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,460.56 : 413,261.40 = 163,494.84 : x
  2. Step 2: Convert to fraction form
    299,460.56/413,261.40 = 163,494.84/x
  3. Step 3: Cross multiply
    299,460.56x = 413,261.40 × 163,494.84
  4. Step 4: Simplify right side
    299,460.56x = 67,566,106,471.18
  5. Step 5: Solve for x
    x = 67,566,106,471.18/299,460.56
  6. Step 6: Final answer
    x = 225,626.06

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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.