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Finding the Fourth Proportional to 601,214.87, 901,866.09 and 201,852.29

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Solution

The fourth proportional to 601,214.87, 901,866.09 and 201,852.29 is: 302,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,214.87 : 901,866.09 = 201,852.29 : x
  2. Step 2: Convert to fraction form
    601,214.87/901,866.09 = 201,852.29/x
  3. Step 3: Cross multiply
    601,214.87x = 901,866.09 × 201,852.29
  4. Step 4: Simplify right side
    601,214.87x = 182,043,735,539.85
  5. Step 5: Solve for x
    x = 182,043,735,539.85/601,214.87
  6. Step 6: Final answer
    x = 302,793.14

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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.