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Finding the Fourth Proportional to 299,326.92, 413,080.80 and 170,262.06

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Solution

The fourth proportional to 299,326.92, 413,080.80 and 170,262.06 is: 234,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,326.92 : 413,080.80 = 170,262.06 : x
  2. Step 2: Convert to fraction form
    299,326.92/413,080.80 = 170,262.06/x
  3. Step 3: Cross multiply
    299,326.92x = 413,080.80 × 170,262.06
  4. Step 4: Simplify right side
    299,326.92x = 70,331,987,954.45
  5. Step 5: Solve for x
    x = 70,331,987,954.45/299,326.92
  6. Step 6: Final answer
    x = 234,967.13

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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.