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Finding the Fourth Proportional to 300,710.88, 414,907.92 and 166,574.88

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Solution

The fourth proportional to 300,710.88, 414,907.92 and 166,574.88 is: 229,832.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,710.88 : 414,907.92 = 166,574.88 : x
  2. Step 2: Convert to fraction form
    300,710.88/414,907.92 = 166,574.88/x
  3. Step 3: Cross multiply
    300,710.88x = 414,907.92 × 166,574.88
  4. Step 4: Simplify right side
    300,710.88x = 69,113,236,985.05
  5. Step 5: Solve for x
    x = 69,113,236,985.05/300,710.88
  6. Step 6: Final answer
    x = 229,832.84

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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.