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Finding the Fourth Proportional to 299,443.12, 413,206.66 and 170,347.24

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Solution

The fourth proportional to 299,443.12, 413,206.66 and 170,347.24 is: 235,065.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,443.12 : 413,206.66 = 170,347.24 : x
  2. Step 2: Convert to fraction form
    299,443.12/413,206.66 = 170,347.24/x
  3. Step 3: Cross multiply
    299,443.12x = 413,206.66 × 170,347.24
  4. Step 4: Simplify right side
    299,443.12x = 70,388,614,080.62
  5. Step 5: Solve for x
    x = 70,388,614,080.62/299,443.12
  6. Step 6: Final answer
    x = 235,065.06

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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.