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Finding the Fourth Proportional to 363,706.62, 501,914.79 and 210,833.35

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Solution

The fourth proportional to 363,706.62, 501,914.79 and 210,833.35 is: 290,949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,706.62 : 501,914.79 = 210,833.35 : x
  2. Step 2: Convert to fraction form
    363,706.62/501,914.79 = 210,833.35/x
  3. Step 3: Cross multiply
    363,706.62x = 501,914.79 × 210,833.35
  4. Step 4: Simplify right side
    363,706.62x = 105,820,374,080.67
  5. Step 5: Solve for x
    x = 105,820,374,080.67/363,706.62
  6. Step 6: Final answer
    x = 290,949.82

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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.