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Finding the Fourth Proportional to 299,560.40, 413,396.64 and 163,598.34

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Solution

The fourth proportional to 299,560.40, 413,396.64 and 163,598.34 is: 225,767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,560.40 : 413,396.64 = 163,598.34 : x
  2. Step 2: Convert to fraction form
    299,560.40/413,396.64 = 163,598.34/x
  3. Step 3: Cross multiply
    299,560.40x = 413,396.64 × 163,598.34
  4. Step 4: Simplify right side
    299,560.40x = 67,631,003,247.59
  5. Step 5: Solve for x
    x = 67,631,003,247.59/299,560.40
  6. Step 6: Final answer
    x = 225,767.51

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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.