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Finding the Fourth Proportional to 300,230.40, 414,314.88 and 166,095.36

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Solution

The fourth proportional to 300,230.40, 414,314.88 and 166,095.36 is: 229,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,230.40 : 414,314.88 = 166,095.36 : x
  2. Step 2: Convert to fraction form
    300,230.40/414,314.88 = 166,095.36/x
  3. Step 3: Cross multiply
    300,230.40x = 414,314.88 × 166,095.36
  4. Step 4: Simplify right side
    300,230.40x = 68,815,779,146.96
  5. Step 5: Solve for x
    x = 68,815,779,146.96/300,230.40
  6. Step 6: Final answer
    x = 229,209.90

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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.