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Finding the Fourth Proportional to 499,184, 688,633.08 and 327,027.14

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Solution

The fourth proportional to 499,184, 688,633.08 and 327,027.14 is: 451,139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,184 : 688,633.08 = 327,027.14 : x
  2. Step 2: Convert to fraction form
    499,184/688,633.08 = 327,027.14/x
  3. Step 3: Cross multiply
    499,184x = 688,633.08 × 327,027.14
  4. Step 4: Simplify right side
    499,184x = 225,201,706,661.79
  5. Step 5: Solve for x
    x = 225,201,706,661.79/499,184
  6. Step 6: Final answer
    x = 451,139.67

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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.