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Finding the Fourth Proportional to 299,080.71, 412,719.96 and 164,944.71

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Solution

The fourth proportional to 299,080.71, 412,719.96 and 164,944.71 is: 227,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,080.71 : 412,719.96 = 164,944.71 : x
  2. Step 2: Convert to fraction form
    299,080.71/412,719.96 = 164,944.71/x
  3. Step 3: Cross multiply
    299,080.71x = 412,719.96 × 164,944.71
  4. Step 4: Simplify right side
    299,080.71x = 68,075,974,113.41
  5. Step 5: Solve for x
    x = 68,075,974,113.41/299,080.71
  6. Step 6: Final answer
    x = 227,617.40

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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.