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Finding the Fourth Proportional to 313,369.84, 432,450.38 and 170,129.88

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Solution

The fourth proportional to 313,369.84, 432,450.38 and 170,129.88 is: 234,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,369.84 : 432,450.38 = 170,129.88 : x
  2. Step 2: Convert to fraction form
    313,369.84/432,450.38 = 170,129.88/x
  3. Step 3: Cross multiply
    313,369.84x = 432,450.38 × 170,129.88
  4. Step 4: Simplify right side
    313,369.84x = 73,572,731,255.35
  5. Step 5: Solve for x
    x = 73,572,731,255.35/313,369.84
  6. Step 6: Final answer
    x = 234,779.23

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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.