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Finding the Fourth Proportional to 423,524.85, 635,535.14 and 157,469.01

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Solution

The fourth proportional to 423,524.85, 635,535.14 and 157,469.01 is: 236,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,524.85 : 635,535.14 = 157,469.01 : x
  2. Step 2: Convert to fraction form
    423,524.85/635,535.14 = 157,469.01/x
  3. Step 3: Cross multiply
    423,524.85x = 635,535.14 × 157,469.01
  4. Step 4: Simplify right side
    423,524.85x = 100,077,088,528.67
  5. Step 5: Solve for x
    x = 100,077,088,528.67/423,524.85
  6. Step 6: Final answer
    x = 236,295.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.