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Finding the Fourth Proportional to 313,092.84, 432,065.70 and 169,852.44

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Solution

The fourth proportional to 313,092.84, 432,065.70 and 169,852.44 is: 234,395.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,092.84 : 432,065.70 = 169,852.44 : x
  2. Step 2: Convert to fraction form
    313,092.84/432,065.70 = 169,852.44/x
  3. Step 3: Cross multiply
    313,092.84x = 432,065.70 × 169,852.44
  4. Step 4: Simplify right side
    313,092.84x = 73,387,413,385.31
  5. Step 5: Solve for x
    x = 73,387,413,385.31/313,092.84
  6. Step 6: Final answer
    x = 234,395.05

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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.