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Finding the Fourth Proportional to 363,089.96, 501,029.06 and 210,097.70

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Solution

The fourth proportional to 363,089.96, 501,029.06 and 210,097.70 is: 289,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,089.96 : 501,029.06 = 210,097.70 : x
  2. Step 2: Convert to fraction form
    363,089.96/501,029.06 = 210,097.70/x
  3. Step 3: Cross multiply
    363,089.96x = 501,029.06 × 210,097.70
  4. Step 4: Simplify right side
    363,089.96x = 105,265,049,583.53
  5. Step 5: Solve for x
    x = 105,265,049,583.53/363,089.96
  6. Step 6: Final answer
    x = 289,914.52

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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.