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Finding the Fourth Proportional to 313,069.68, 432,032.82 and 169,828.50

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Solution

The fourth proportional to 313,069.68, 432,032.82 and 169,828.50 is: 234,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,069.68 : 432,032.82 = 169,828.50 : x
  2. Step 2: Convert to fraction form
    313,069.68/432,032.82 = 169,828.50/x
  3. Step 3: Cross multiply
    313,069.68x = 432,032.82 × 169,828.50
  4. Step 4: Simplify right side
    313,069.68x = 73,371,485,771.37
  5. Step 5: Solve for x
    x = 73,371,485,771.37/313,069.68
  6. Step 6: Final answer
    x = 234,361.52

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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.