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Finding the Fourth Proportional to 413,807.84, 620,699.46 and 114,306.39

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Solution

The fourth proportional to 413,807.84, 620,699.46 and 114,306.39 is: 171,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,807.84 : 620,699.46 = 114,306.39 : x
  2. Step 2: Convert to fraction form
    413,807.84/620,699.46 = 114,306.39/x
  3. Step 3: Cross multiply
    413,807.84x = 620,699.46 × 114,306.39
  4. Step 4: Simplify right side
    413,807.84x = 70,949,914,118.90
  5. Step 5: Solve for x
    x = 70,949,914,118.90/413,807.84
  6. Step 6: Final answer
    x = 171,456.19

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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.