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Finding the Fourth Proportional to 313,207.36, 432,222.42 and 169,966.24

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Solution

The fourth proportional to 313,207.36, 432,222.42 and 169,966.24 is: 234,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,207.36 : 432,222.42 = 169,966.24 : x
  2. Step 2: Convert to fraction form
    313,207.36/432,222.42 = 169,966.24/x
  3. Step 3: Cross multiply
    313,207.36x = 432,222.42 × 169,966.24
  4. Step 4: Simplify right side
    313,207.36x = 73,463,219,571.10
  5. Step 5: Solve for x
    x = 73,463,219,571.10/313,207.36
  6. Step 6: Final answer
    x = 234,551.38

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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.