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Finding the Fourth Proportional to 300,597, 414,836.90 and 166,461

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Solution

The fourth proportional to 300,597, 414,836.90 and 166,461 is: 229,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,597 : 414,836.90 = 166,461 : x
  2. Step 2: Convert to fraction form
    300,597/414,836.90 = 166,461/x
  3. Step 3: Cross multiply
    300,597x = 414,836.90 × 166,461
  4. Step 4: Simplify right side
    300,597x = 69,054,165,210.90
  5. Step 5: Solve for x
    x = 69,054,165,210.90/300,597
  6. Step 6: Final answer
    x = 229,723.40

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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.