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Finding the Fourth Proportional to 436,199.40, 653,813.10 and 169,871.40

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Solution

The fourth proportional to 436,199.40, 653,813.10 and 169,871.40 is: 254,617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,199.40 : 653,813.10 = 169,871.40 : x
  2. Step 2: Convert to fraction form
    436,199.40/653,813.10 = 169,871.40/x
  3. Step 3: Cross multiply
    436,199.40x = 653,813.10 × 169,871.40
  4. Step 4: Simplify right side
    436,199.40x = 111,064,146,635.34
  5. Step 5: Solve for x
    x = 111,064,146,635.34/436,199.40
  6. Step 6: Final answer
    x = 254,617.83

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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.