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Finding the Fourth Proportional to 832,992.39, 1,249,484.46 and 201,906.21

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Solution

The fourth proportional to 832,992.39, 1,249,484.46 and 201,906.21 is: 302,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,992.39 : 1,249,484.46 = 201,906.21 : x
  2. Step 2: Convert to fraction form
    832,992.39/1,249,484.46 = 201,906.21/x
  3. Step 3: Cross multiply
    832,992.39x = 1,249,484.46 × 201,906.21
  4. Step 4: Simplify right side
    832,992.39x = 252,278,671,772.50
  5. Step 5: Solve for x
    x = 252,278,671,772.50/832,992.39
  6. Step 6: Final answer
    x = 302,858.32

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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.