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Finding the Fourth Proportional to 300,349.50, 414,482.31 and 166,222.14

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Solution

The fourth proportional to 300,349.50, 414,482.31 and 166,222.14 is: 229,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,349.50 : 414,482.31 = 166,222.14 : x
  2. Step 2: Convert to fraction form
    300,349.50/414,482.31 = 166,222.14/x
  3. Step 3: Cross multiply
    300,349.50x = 414,482.31 × 166,222.14
  4. Step 4: Simplify right side
    300,349.50x = 68,896,136,560.34
  5. Step 5: Solve for x
    x = 68,896,136,560.34/300,349.50
  6. Step 6: Final answer
    x = 229,386.55

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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.