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Finding the Fourth Proportional to 300,294.80, 414,406.85 and 164,328.77

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Solution

The fourth proportional to 300,294.80, 414,406.85 and 164,328.77 is: 226,773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,294.80 : 414,406.85 = 164,328.77 : x
  2. Step 2: Convert to fraction form
    300,294.80/414,406.85 = 164,328.77/x
  3. Step 3: Cross multiply
    300,294.80x = 414,406.85 × 164,328.77
  4. Step 4: Simplify right side
    300,294.80x = 68,098,969,386.91
  5. Step 5: Solve for x
    x = 68,098,969,386.91/300,294.80
  6. Step 6: Final answer
    x = 226,773.73

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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.