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Finding the Fourth Proportional to 436,900.14, 603,108.75 and 293,743.20

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Solution

The fourth proportional to 436,900.14, 603,108.75 and 293,743.20 is: 405,491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,900.14 : 603,108.75 = 293,743.20 : x
  2. Step 2: Convert to fraction form
    436,900.14/603,108.75 = 293,743.20/x
  3. Step 3: Cross multiply
    436,900.14x = 603,108.75 × 293,743.20
  4. Step 4: Simplify right side
    436,900.14x = 177,159,094,173
  5. Step 5: Solve for x
    x = 177,159,094,173/436,900.14
  6. Step 6: Final answer
    x = 405,491.04

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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.