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Finding the Fourth Proportional to 470,833.09, 706,143.29 and 133,866.41

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Solution

The fourth proportional to 470,833.09, 706,143.29 and 133,866.41 is: 200,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,833.09 : 706,143.29 = 133,866.41 : x
  2. Step 2: Convert to fraction form
    470,833.09/706,143.29 = 133,866.41/x
  3. Step 3: Cross multiply
    470,833.09x = 706,143.29 × 133,866.41
  4. Step 4: Simplify right side
    470,833.09x = 94,528,862,977.84
  5. Step 5: Solve for x
    x = 94,528,862,977.84/470,833.09
  6. Step 6: Final answer
    x = 200,769.37

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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.