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Finding the Fourth Proportional to 300,776.42, 415,053.57 and 164,783.30

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Solution

The fourth proportional to 300,776.42, 415,053.57 and 164,783.30 is: 227,391.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,776.42 : 415,053.57 = 164,783.30 : x
  2. Step 2: Convert to fraction form
    300,776.42/415,053.57 = 164,783.30/x
  3. Step 3: Cross multiply
    300,776.42x = 415,053.57 × 164,783.30
  4. Step 4: Simplify right side
    300,776.42x = 68,393,896,941.38
  5. Step 5: Solve for x
    x = 68,393,896,941.38/300,776.42
  6. Step 6: Final answer
    x = 227,391.15

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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.