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Finding the Fourth Proportional to 299,088.24, 412,730.28 and 164,952.24

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Solution

The fourth proportional to 299,088.24, 412,730.28 and 164,952.24 is: 227,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,088.24 : 412,730.28 = 164,952.24 : x
  2. Step 2: Convert to fraction form
    299,088.24/412,730.28 = 164,952.24/x
  3. Step 3: Cross multiply
    299,088.24x = 412,730.28 × 164,952.24
  4. Step 4: Simplify right side
    299,088.24x = 68,080,784,201.83
  5. Step 5: Solve for x
    x = 68,080,784,201.83/299,088.24
  6. Step 6: Final answer
    x = 227,627.75

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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.