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Finding the Fourth Proportional to 300,615.56, 414,834.70 and 164,650.10

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Solution

The fourth proportional to 300,615.56, 414,834.70 and 164,650.10 is: 227,209.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,615.56 : 414,834.70 = 164,650.10 : x
  2. Step 2: Convert to fraction form
    300,615.56/414,834.70 = 164,650.10/x
  3. Step 3: Cross multiply
    300,615.56x = 414,834.70 × 164,650.10
  4. Step 4: Simplify right side
    300,615.56x = 68,302,574,838.47
  5. Step 5: Solve for x
    x = 68,302,574,838.47/300,615.56
  6. Step 6: Final answer
    x = 227,209.05

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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.