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Finding the Fourth Proportional to 299,064.24, 412,702.56 and 164,928.24

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Solution

The fourth proportional to 299,064.24, 412,702.56 and 164,928.24 is: 227,597.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,064.24 : 412,702.56 = 164,928.24 : x
  2. Step 2: Convert to fraction form
    299,064.24/412,702.56 = 164,928.24/x
  3. Step 3: Cross multiply
    299,064.24x = 412,702.56 × 164,928.24
  4. Step 4: Simplify right side
    299,064.24x = 68,066,306,864.29
  5. Step 5: Solve for x
    x = 68,066,306,864.29/299,064.24
  6. Step 6: Final answer
    x = 227,597.61

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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.