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Finding the Fourth Proportional to 300,674.39, 414,925.40 and 164,711.03

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Solution

The fourth proportional to 300,674.39, 414,925.40 and 164,711.03 is: 227,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,674.39 : 414,925.40 = 164,711.03 : x
  2. Step 2: Convert to fraction form
    300,674.39/414,925.40 = 164,711.03/x
  3. Step 3: Cross multiply
    300,674.39x = 414,925.40 × 164,711.03
  4. Step 4: Simplify right side
    300,674.39x = 68,342,788,344.31
  5. Step 5: Solve for x
    x = 68,342,788,344.31/300,674.39
  6. Step 6: Final answer
    x = 227,298.34

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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.