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Finding the Fourth Proportional to 421,469.14, 631,537.89 and 342,196.06

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Solution

The fourth proportional to 421,469.14, 631,537.89 and 342,196.06 is: 512,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,469.14 : 631,537.89 = 342,196.06 : x
  2. Step 2: Convert to fraction form
    421,469.14/631,537.89 = 342,196.06/x
  3. Step 3: Cross multiply
    421,469.14x = 631,537.89 × 342,196.06
  4. Step 4: Simplify right side
    421,469.14x = 216,109,777,698.71
  5. Step 5: Solve for x
    x = 216,109,777,698.71/421,469.14
  6. Step 6: Final answer
    x = 512,753.50

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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.