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Finding the Fourth Proportional to 299,029.14, 412,655.04 and 163,064.16

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Solution

The fourth proportional to 299,029.14, 412,655.04 and 163,064.16 is: 225,025.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,029.14 : 412,655.04 = 163,064.16 : x
  2. Step 2: Convert to fraction form
    299,029.14/412,655.04 = 163,064.16/x
  3. Step 3: Cross multiply
    299,029.14x = 412,655.04 × 163,064.16
  4. Step 4: Simplify right side
    299,029.14x = 67,289,247,467.37
  5. Step 5: Solve for x
    x = 67,289,247,467.37/299,029.14
  6. Step 6: Final answer
    x = 225,025.72

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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.