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Finding the Fourth Proportional to 300,421.56, 414,569.25 and 164,452.13

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Solution

The fourth proportional to 300,421.56, 414,569.25 and 164,452.13 is: 226,937.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,421.56 : 414,569.25 = 164,452.13 : x
  2. Step 2: Convert to fraction form
    300,421.56/414,569.25 = 164,452.13/x
  3. Step 3: Cross multiply
    300,421.56x = 414,569.25 × 164,452.13
  4. Step 4: Simplify right side
    300,421.56x = 68,176,796,195.00
  5. Step 5: Solve for x
    x = 68,176,796,195.00/300,421.56
  6. Step 6: Final answer
    x = 226,937.10

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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.