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Finding the Fourth Proportional to 300,031.13, 414,025.94 and 164,039.69

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Solution

The fourth proportional to 300,031.13, 414,025.94 and 164,039.69 is: 226,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,031.13 : 414,025.94 = 164,039.69 : x
  2. Step 2: Convert to fraction form
    300,031.13/414,025.94 = 164,039.69/x
  3. Step 3: Cross multiply
    300,031.13x = 414,025.94 × 164,039.69
  4. Step 4: Simplify right side
    300,031.13x = 67,916,683,959.23
  5. Step 5: Solve for x
    x = 67,916,683,959.23/300,031.13
  6. Step 6: Final answer
    x = 226,365.46

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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.