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Finding the Fourth Proportional to 300,210.71, 414,293.83 and 164,241.68

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Solution

The fourth proportional to 300,210.71, 414,293.83 and 164,241.68 is: 226,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,210.71 : 414,293.83 = 164,241.68 : x
  2. Step 2: Convert to fraction form
    300,210.71/414,293.83 = 164,241.68/x
  3. Step 3: Cross multiply
    300,210.71x = 414,293.83 × 164,241.68
  4. Step 4: Simplify right side
    300,210.71x = 68,044,315,425.02
  5. Step 5: Solve for x
    x = 68,044,315,425.02/300,210.71
  6. Step 6: Final answer
    x = 226,655.19

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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.