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Finding the Fourth Proportional to 300,638.59, 414,881.43 and 164,674.81

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Solution

The fourth proportional to 300,638.59, 414,881.43 and 164,674.81 is: 227,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,638.59 : 414,881.43 = 164,674.81 : x
  2. Step 2: Convert to fraction form
    300,638.59/414,881.43 = 164,674.81/x
  3. Step 3: Cross multiply
    300,638.59x = 414,881.43 × 164,674.81
  4. Step 4: Simplify right side
    300,638.59x = 68,320,518,225.14
  5. Step 5: Solve for x
    x = 68,320,518,225.14/300,638.59
  6. Step 6: Final answer
    x = 227,251.33

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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.