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Finding the Fourth Proportional to 299,966.74, 413,979.70 and 170,944.68

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Solution

The fourth proportional to 299,966.74, 413,979.70 and 170,944.68 is: 235,918.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,966.74 : 413,979.70 = 170,944.68 : x
  2. Step 2: Convert to fraction form
    299,966.74/413,979.70 = 170,944.68/x
  3. Step 3: Cross multiply
    299,966.74x = 413,979.70 × 170,944.68
  4. Step 4: Simplify right side
    299,966.74x = 70,767,625,273.10
  5. Step 5: Solve for x
    x = 70,767,625,273.10/299,966.74
  6. Step 6: Final answer
    x = 235,918.24

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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.